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Finding the Fourth Proportional to 97.76, 134.93 and 60.92

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Solution

The fourth proportional to 97.76, 134.93 and 60.92 is: 84.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 134.93 = 60.92 : x
  2. Step 2: Convert to fraction form
    97.76/134.93 = 60.92/x
  3. Step 3: Cross multiply
    97.76x = 134.93 × 60.92
  4. Step 4: Simplify right side
    97.76x = 8,218.96
  5. Step 5: Solve for x
    x = 8,218.96/97.76
  6. Step 6: Final answer
    x = 84.08

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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.