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Finding the Fourth Proportional to 114.98, 158.09 and 102.42

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Solution

The fourth proportional to 114.98, 158.09 and 102.42 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 158.09 = 102.42 : x
  2. Step 2: Convert to fraction form
    114.98/158.09 = 102.42/x
  3. Step 3: Cross multiply
    114.98x = 158.09 × 102.42
  4. Step 4: Simplify right side
    114.98x = 16,190.28
  5. Step 5: Solve for x
    x = 16,190.28/114.98
  6. Step 6: Final answer
    x = 140.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.