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Finding the Fourth Proportional to 88.07, 132.00 and 42.31

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Solution

The fourth proportional to 88.07, 132.00 and 42.31 is: 63.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.07 : 132.00 = 42.31 : x
  2. Step 2: Convert to fraction form
    88.07/132.00 = 42.31/x
  3. Step 3: Cross multiply
    88.07x = 132.00 × 42.31
  4. Step 4: Simplify right side
    88.07x = 5,585.65
  5. Step 5: Solve for x
    x = 5,585.65/88.07
  6. Step 6: Final answer
    x = 63.42

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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.