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Finding the Fourth Proportional to 97.57, 134.66 and 91.71

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Solution

The fourth proportional to 97.57, 134.66 and 91.71 is: 126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 134.66 = 91.71 : x
  2. Step 2: Convert to fraction form
    97.57/134.66 = 91.71/x
  3. Step 3: Cross multiply
    97.57x = 134.66 × 91.71
  4. Step 4: Simplify right side
    97.57x = 12,349.67
  5. Step 5: Solve for x
    x = 12,349.67/97.57
  6. Step 6: Final answer
    x = 126.57

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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.