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Finding the Fourth Proportional to 414.66, 572.16 and 257.32

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Solution

The fourth proportional to 414.66, 572.16 and 257.32 is: 355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 572.16 = 257.32 : x
  2. Step 2: Convert to fraction form
    414.66/572.16 = 257.32/x
  3. Step 3: Cross multiply
    414.66x = 572.16 × 257.32
  4. Step 4: Simplify right side
    414.66x = 147,228.21
  5. Step 5: Solve for x
    x = 147,228.21/414.66
  6. Step 6: Final answer
    x = 355.06

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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.