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Finding the Fourth Proportional to 87.33, 119.57 and 86.50

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Solution

The fourth proportional to 87.33, 119.57 and 86.50 is: 118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.33 : 119.57 = 86.50 : x
  2. Step 2: Convert to fraction form
    87.33/119.57 = 86.50/x
  3. Step 3: Cross multiply
    87.33x = 119.57 × 86.50
  4. Step 4: Simplify right side
    87.33x = 10,342.81
  5. Step 5: Solve for x
    x = 10,342.81/87.33
  6. Step 6: Final answer
    x = 118.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.