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Finding the Fourth Proportional to 88.70, 133.25 and 77.42

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Solution

The fourth proportional to 88.70, 133.25 and 77.42 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 133.25 = 77.42 : x
  2. Step 2: Convert to fraction form
    88.70/133.25 = 77.42/x
  3. Step 3: Cross multiply
    88.70x = 133.25 × 77.42
  4. Step 4: Simplify right side
    88.70x = 10,316.16
  5. Step 5: Solve for x
    x = 10,316.16/88.70
  6. Step 6: Final answer
    x = 116.31

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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.