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Finding the Fourth Proportional to 618.36, 927.02 and 309.84

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Solution

The fourth proportional to 618.36, 927.02 and 309.84 is: 464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.36 : 927.02 = 309.84 : x
  2. Step 2: Convert to fraction form
    618.36/927.02 = 309.84/x
  3. Step 3: Cross multiply
    618.36x = 927.02 × 309.84
  4. Step 4: Simplify right side
    618.36x = 287,227.88
  5. Step 5: Solve for x
    x = 287,227.88/618.36
  6. Step 6: Final answer
    x = 464.50

Related Problems

Find fourth proportional to 309.18, 463.51 and 154.92
Half scale
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Double scale
Find fourth proportional to 619.36, 928.52 and 310.84
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.