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Finding the Fourth Proportional to 88.31, 132.55 and 78.57

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Solution

The fourth proportional to 88.31, 132.55 and 78.57 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 132.55 = 78.57 : x
  2. Step 2: Convert to fraction form
    88.31/132.55 = 78.57/x
  3. Step 3: Cross multiply
    88.31x = 132.55 × 78.57
  4. Step 4: Simplify right side
    88.31x = 10,414.45
  5. Step 5: Solve for x
    x = 10,414.45/88.31
  6. Step 6: Final answer
    x = 117.93

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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.