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Finding the Fourth Proportional to 88.78, 133.17 and 52.87

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Solution

The fourth proportional to 88.78, 133.17 and 52.87 is: 79.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 133.17 = 52.87 : x
  2. Step 2: Convert to fraction form
    88.78/133.17 = 52.87/x
  3. Step 3: Cross multiply
    88.78x = 133.17 × 52.87
  4. Step 4: Simplify right side
    88.78x = 7,040.70
  5. Step 5: Solve for x
    x = 7,040.70/88.78
  6. Step 6: Final answer
    x = 79.31

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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.