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Finding the Fourth Proportional to 115.89, 159.21 and 96.45

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Solution

The fourth proportional to 115.89, 159.21 and 96.45 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 159.21 = 96.45 : x
  2. Step 2: Convert to fraction form
    115.89/159.21 = 96.45/x
  3. Step 3: Cross multiply
    115.89x = 159.21 × 96.45
  4. Step 4: Simplify right side
    115.89x = 15,355.80
  5. Step 5: Solve for x
    x = 15,355.80/115.89
  6. Step 6: Final answer
    x = 132.50

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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.