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Finding the Fourth Proportional to 167.09, 230.50 and 115.25

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Solution

The fourth proportional to 167.09, 230.50 and 115.25 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 230.50 = 115.25 : x
  2. Step 2: Convert to fraction form
    167.09/230.50 = 115.25/x
  3. Step 3: Cross multiply
    167.09x = 230.50 × 115.25
  4. Step 4: Simplify right side
    167.09x = 26,565.13
  5. Step 5: Solve for x
    x = 26,565.13/167.09
  6. Step 6: Final answer
    x = 158.99

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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.