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Finding the Fourth Proportional to 138.48, 191.02 and 89.32

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Solution

The fourth proportional to 138.48, 191.02 and 89.32 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.48 : 191.02 = 89.32 : x
  2. Step 2: Convert to fraction form
    138.48/191.02 = 89.32/x
  3. Step 3: Cross multiply
    138.48x = 191.02 × 89.32
  4. Step 4: Simplify right side
    138.48x = 17,061.91
  5. Step 5: Solve for x
    x = 17,061.91/138.48
  6. Step 6: Final answer
    x = 123.21

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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.