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Finding the Fourth Proportional to 90.77, 135.50 and 86.83

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Solution

The fourth proportional to 90.77, 135.50 and 86.83 is: 129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 135.50 = 86.83 : x
  2. Step 2: Convert to fraction form
    90.77/135.50 = 86.83/x
  3. Step 3: Cross multiply
    90.77x = 135.50 × 86.83
  4. Step 4: Simplify right side
    90.77x = 11,765.47
  5. Step 5: Solve for x
    x = 11,765.47/90.77
  6. Step 6: Final answer
    x = 129.62

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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.