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Finding the Fourth Proportional to 138.84, 191.80 and 97.53

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Solution

The fourth proportional to 138.84, 191.80 and 97.53 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 191.80 = 97.53 : x
  2. Step 2: Convert to fraction form
    138.84/191.80 = 97.53/x
  3. Step 3: Cross multiply
    138.84x = 191.80 × 97.53
  4. Step 4: Simplify right side
    138.84x = 18,706.25
  5. Step 5: Solve for x
    x = 18,706.25/138.84
  6. Step 6: Final answer
    x = 134.73

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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.