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Finding the Fourth Proportional to 90.92, 135.64 and 77.24

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Solution

The fourth proportional to 90.92, 135.64 and 77.24 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.92 : 135.64 = 77.24 : x
  2. Step 2: Convert to fraction form
    90.92/135.64 = 77.24/x
  3. Step 3: Cross multiply
    90.92x = 135.64 × 77.24
  4. Step 4: Simplify right side
    90.92x = 10,476.83
  5. Step 5: Solve for x
    x = 10,476.83/90.92
  6. Step 6: Final answer
    x = 115.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.