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Finding the Fourth Proportional to 115.69, 159.64 and 71.42

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Solution

The fourth proportional to 115.69, 159.64 and 71.42 is: 98.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.69 : 159.64 = 71.42 : x
  2. Step 2: Convert to fraction form
    115.69/159.64 = 71.42/x
  3. Step 3: Cross multiply
    115.69x = 159.64 × 71.42
  4. Step 4: Simplify right side
    115.69x = 11,401.13
  5. Step 5: Solve for x
    x = 11,401.13/115.69
  6. Step 6: Final answer
    x = 98.55

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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.