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Finding the Fourth Proportional to 98.31, 135.65 and 58.97

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Solution

The fourth proportional to 98.31, 135.65 and 58.97 is: 81.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 135.65 = 58.97 : x
  2. Step 2: Convert to fraction form
    98.31/135.65 = 58.97/x
  3. Step 3: Cross multiply
    98.31x = 135.65 × 58.97
  4. Step 4: Simplify right side
    98.31x = 7,998.31
  5. Step 5: Solve for x
    x = 7,998.31/98.31
  6. Step 6: Final answer
    x = 81.36

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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.