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Finding the Fourth Proportional to 42.57, 58.85 and 38.46

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Solution

The fourth proportional to 42.57, 58.85 and 38.46 is: 53.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.85 = 38.46 : x
  2. Step 2: Convert to fraction form
    42.57/58.85 = 38.46/x
  3. Step 3: Cross multiply
    42.57x = 58.85 × 38.46
  4. Step 4: Simplify right side
    42.57x = 2,263.18
  5. Step 5: Solve for x
    x = 2,263.18/42.57
  6. Step 6: Final answer
    x = 53.16

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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.