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Finding the Fourth Proportional to 87.93, 120.50 and 87.80

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Solution

The fourth proportional to 87.93, 120.50 and 87.80 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.93 : 120.50 = 87.80 : x
  2. Step 2: Convert to fraction form
    87.93/120.50 = 87.80/x
  3. Step 3: Cross multiply
    87.93x = 120.50 × 87.80
  4. Step 4: Simplify right side
    87.93x = 10,578.86
  5. Step 5: Solve for x
    x = 10,578.86/87.93
  6. Step 6: Final answer
    x = 120.31

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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.