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Finding the Fourth Proportional to 88.42, 132.66 and 77.68

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Solution

The fourth proportional to 88.42, 132.66 and 77.68 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 132.66 = 77.68 : x
  2. Step 2: Convert to fraction form
    88.42/132.66 = 77.68/x
  3. Step 3: Cross multiply
    88.42x = 132.66 × 77.68
  4. Step 4: Simplify right side
    88.42x = 10,305.03
  5. Step 5: Solve for x
    x = 10,305.03/88.42
  6. Step 6: Final answer
    x = 116.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.