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Finding the Fourth Proportional to 445.69, 614.82 and 298.27

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Solution

The fourth proportional to 445.69, 614.82 and 298.27 is: 411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.69 : 614.82 = 298.27 : x
  2. Step 2: Convert to fraction form
    445.69/614.82 = 298.27/x
  3. Step 3: Cross multiply
    445.69x = 614.82 × 298.27
  4. Step 4: Simplify right side
    445.69x = 183,382.36
  5. Step 5: Solve for x
    x = 183,382.36/445.69
  6. Step 6: Final answer
    x = 411.46

Related Problems

Find fourth proportional to 222.85, 307.41 and 149.14
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.