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Finding the Fourth Proportional to 167.21, 230.27 and 115.37

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Solution

The fourth proportional to 167.21, 230.27 and 115.37 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.21 : 230.27 = 115.37 : x
  2. Step 2: Convert to fraction form
    167.21/230.27 = 115.37/x
  3. Step 3: Cross multiply
    167.21x = 230.27 × 115.37
  4. Step 4: Simplify right side
    167.21x = 26,565.67
  5. Step 5: Solve for x
    x = 26,565.67/167.21
  6. Step 6: Final answer
    x = 158.88

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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.