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Finding the Fourth Proportional to 115.68, 159.56 and 76.34

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Solution

The fourth proportional to 115.68, 159.56 and 76.34 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 159.56 = 76.34 : x
  2. Step 2: Convert to fraction form
    115.68/159.56 = 76.34/x
  3. Step 3: Cross multiply
    115.68x = 159.56 × 76.34
  4. Step 4: Simplify right side
    115.68x = 12,180.43
  5. Step 5: Solve for x
    x = 12,180.43/115.68
  6. Step 6: Final answer
    x = 105.29

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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.