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Finding the Fourth Proportional to 415, 572.58 and 240.28

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Solution

The fourth proportional to 415, 572.58 and 240.28 is: 331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 572.58 = 240.28 : x
  2. Step 2: Convert to fraction form
    415/572.58 = 240.28/x
  3. Step 3: Cross multiply
    415x = 572.58 × 240.28
  4. Step 4: Simplify right side
    415x = 137,579.52
  5. Step 5: Solve for x
    x = 137,579.52/415
  6. Step 6: Final answer
    x = 331.52

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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.