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Finding the Fourth Proportional to 115.50, 158.42 and 110.31

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Solution

The fourth proportional to 115.50, 158.42 and 110.31 is: 151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 158.42 = 110.31 : x
  2. Step 2: Convert to fraction form
    115.50/158.42 = 110.31/x
  3. Step 3: Cross multiply
    115.50x = 158.42 × 110.31
  4. Step 4: Simplify right side
    115.50x = 17,475.31
  5. Step 5: Solve for x
    x = 17,475.31/115.50
  6. Step 6: Final answer
    x = 151.30

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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.