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Finding the Fourth Proportional to 115.81, 159.76 and 76.42

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Solution

The fourth proportional to 115.81, 159.76 and 76.42 is: 105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.81 : 159.76 = 76.42 : x
  2. Step 2: Convert to fraction form
    115.81/159.76 = 76.42/x
  3. Step 3: Cross multiply
    115.81x = 159.76 × 76.42
  4. Step 4: Simplify right side
    115.81x = 12,208.06
  5. Step 5: Solve for x
    x = 12,208.06/115.81
  6. Step 6: Final answer
    x = 105.42

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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.