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Finding the Fourth Proportional to 89.59, 133.78 and 76.76

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Solution

The fourth proportional to 89.59, 133.78 and 76.76 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.59 : 133.78 = 76.76 : x
  2. Step 2: Convert to fraction form
    89.59/133.78 = 76.76/x
  3. Step 3: Cross multiply
    89.59x = 133.78 × 76.76
  4. Step 4: Simplify right side
    89.59x = 10,268.95
  5. Step 5: Solve for x
    x = 10,268.95/89.59
  6. Step 6: Final answer
    x = 114.62

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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.