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Finding the Fourth Proportional to 42.57, 58.71 and 32.17

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Solution

The fourth proportional to 42.57, 58.71 and 32.17 is: 44.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.71 = 32.17 : x
  2. Step 2: Convert to fraction form
    42.57/58.71 = 32.17/x
  3. Step 3: Cross multiply
    42.57x = 58.71 × 32.17
  4. Step 4: Simplify right side
    42.57x = 1,888.70
  5. Step 5: Solve for x
    x = 1,888.70/42.57
  6. Step 6: Final answer
    x = 44.37

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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.