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Finding the Fourth Proportional to 115.12, 159.22 and 102.82

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Solution

The fourth proportional to 115.12, 159.22 and 102.82 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.12 : 159.22 = 102.82 : x
  2. Step 2: Convert to fraction form
    115.12/159.22 = 102.82/x
  3. Step 3: Cross multiply
    115.12x = 159.22 × 102.82
  4. Step 4: Simplify right side
    115.12x = 16,371.00
  5. Step 5: Solve for x
    x = 16,371.00/115.12
  6. Step 6: Final answer
    x = 142.21

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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.