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Finding the Fourth Proportional to 415.28, 572.78 and 332.25

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Solution

The fourth proportional to 415.28, 572.78 and 332.25 is: 458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 572.78 = 332.25 : x
  2. Step 2: Convert to fraction form
    415.28/572.78 = 332.25/x
  3. Step 3: Cross multiply
    415.28x = 572.78 × 332.25
  4. Step 4: Simplify right side
    415.28x = 190,304.49
  5. Step 5: Solve for x
    x = 190,304.49/415.28
  6. Step 6: Final answer
    x = 458.26

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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.