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Finding the Fourth Proportional to 88.23, 132.87 and 85.80

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Solution

The fourth proportional to 88.23, 132.87 and 85.80 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.23 : 132.87 = 85.80 : x
  2. Step 2: Convert to fraction form
    88.23/132.87 = 85.80/x
  3. Step 3: Cross multiply
    88.23x = 132.87 × 85.80
  4. Step 4: Simplify right side
    88.23x = 11,400.25
  5. Step 5: Solve for x
    x = 11,400.25/88.23
  6. Step 6: Final answer
    x = 129.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.