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Finding the Fourth Proportional to 90.92, 135.64 and 88.53

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Solution

The fourth proportional to 90.92, 135.64 and 88.53 is: 132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.92 : 135.64 = 88.53 : x
  2. Step 2: Convert to fraction form
    90.92/135.64 = 88.53/x
  3. Step 3: Cross multiply
    90.92x = 135.64 × 88.53
  4. Step 4: Simplify right side
    90.92x = 12,008.01
  5. Step 5: Solve for x
    x = 12,008.01/90.92
  6. Step 6: Final answer
    x = 132.07

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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.