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Finding the Fourth Proportional to 42.57, 58.74 and 33.42

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Solution

The fourth proportional to 42.57, 58.74 and 33.42 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.74 = 33.42 : x
  2. Step 2: Convert to fraction form
    42.57/58.74 = 33.42/x
  3. Step 3: Cross multiply
    42.57x = 58.74 × 33.42
  4. Step 4: Simplify right side
    42.57x = 1,963.19
  5. Step 5: Solve for x
    x = 1,963.19/42.57
  6. Step 6: Final answer
    x = 46.12

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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.