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Finding the Fourth Proportional to 97.69, 134.79 and 62.71

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Solution

The fourth proportional to 97.69, 134.79 and 62.71 is: 86.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 134.79 = 62.71 : x
  2. Step 2: Convert to fraction form
    97.69/134.79 = 62.71/x
  3. Step 3: Cross multiply
    97.69x = 134.79 × 62.71
  4. Step 4: Simplify right side
    97.69x = 8,452.68
  5. Step 5: Solve for x
    x = 8,452.68/97.69
  6. Step 6: Final answer
    x = 86.53

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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.