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Finding the Fourth Proportional to 115.57, 159.48 and 76.20

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Solution

The fourth proportional to 115.57, 159.48 and 76.20 is: 105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.57 : 159.48 = 76.20 : x
  2. Step 2: Convert to fraction form
    115.57/159.48 = 76.20/x
  3. Step 3: Cross multiply
    115.57x = 159.48 × 76.20
  4. Step 4: Simplify right side
    115.57x = 12,152.38
  5. Step 5: Solve for x
    x = 12,152.38/115.57
  6. Step 6: Final answer
    x = 105.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.