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Finding the Fourth Proportional to 414.71, 572.43 and 284.10

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Solution

The fourth proportional to 414.71, 572.43 and 284.10 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 572.43 = 284.10 : x
  2. Step 2: Convert to fraction form
    414.71/572.43 = 284.10/x
  3. Step 3: Cross multiply
    414.71x = 572.43 × 284.10
  4. Step 4: Simplify right side
    414.71x = 162,627.36
  5. Step 5: Solve for x
    x = 162,627.36/414.71
  6. Step 6: Final answer
    x = 392.15

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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.