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Finding the Fourth Proportional to 91, 135.41 and 86.68

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Solution

The fourth proportional to 91, 135.41 and 86.68 is: 128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91 : 135.41 = 86.68 : x
  2. Step 2: Convert to fraction form
    91/135.41 = 86.68/x
  3. Step 3: Cross multiply
    91x = 135.41 × 86.68
  4. Step 4: Simplify right side
    91x = 11,737.34
  5. Step 5: Solve for x
    x = 11,737.34/91
  6. Step 6: Final answer
    x = 128.98

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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.