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Finding the Fourth Proportional to 58.98, 81.42 and 39.31

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Solution

The fourth proportional to 58.98, 81.42 and 39.31 is: 54.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.98 : 81.42 = 39.31 : x
  2. Step 2: Convert to fraction form
    58.98/81.42 = 39.31/x
  3. Step 3: Cross multiply
    58.98x = 81.42 × 39.31
  4. Step 4: Simplify right side
    58.98x = 3,200.62
  5. Step 5: Solve for x
    x = 3,200.62/58.98
  6. Step 6: Final answer
    x = 54.27

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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.