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Finding the Fourth Proportional to 97.39, 135.13 and 93.53

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Solution

The fourth proportional to 97.39, 135.13 and 93.53 is: 129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.39 : 135.13 = 93.53 : x
  2. Step 2: Convert to fraction form
    97.39/135.13 = 93.53/x
  3. Step 3: Cross multiply
    97.39x = 135.13 × 93.53
  4. Step 4: Simplify right side
    97.39x = 12,638.71
  5. Step 5: Solve for x
    x = 12,638.71/97.39
  6. Step 6: Final answer
    x = 129.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.