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Finding the Fourth Proportional to 88.19, 132.35 and 76.89

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Solution

The fourth proportional to 88.19, 132.35 and 76.89 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.19 : 132.35 = 76.89 : x
  2. Step 2: Convert to fraction form
    88.19/132.35 = 76.89/x
  3. Step 3: Cross multiply
    88.19x = 132.35 × 76.89
  4. Step 4: Simplify right side
    88.19x = 10,176.39
  5. Step 5: Solve for x
    x = 10,176.39/88.19
  6. Step 6: Final answer
    x = 115.39

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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.