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Finding the Fourth Proportional to 618.12, 926.10 and 309.24

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Solution

The fourth proportional to 618.12, 926.10 and 309.24 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.12 : 926.10 = 309.24 : x
  2. Step 2: Convert to fraction form
    618.12/926.10 = 309.24/x
  3. Step 3: Cross multiply
    618.12x = 926.10 × 309.24
  4. Step 4: Simplify right side
    618.12x = 286,387.16
  5. Step 5: Solve for x
    x = 286,387.16/618.12
  6. Step 6: Final answer
    x = 463.32

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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.