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Finding the Fourth Proportional to 42.24, 58.31 and 41.02

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Solution

The fourth proportional to 42.24, 58.31 and 41.02 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.24 : 58.31 = 41.02 : x
  2. Step 2: Convert to fraction form
    42.24/58.31 = 41.02/x
  3. Step 3: Cross multiply
    42.24x = 58.31 × 41.02
  4. Step 4: Simplify right side
    42.24x = 2,391.88
  5. Step 5: Solve for x
    x = 2,391.88/42.24
  6. Step 6: Final answer
    x = 56.63

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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.