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Finding the Fourth Proportional to 167.29, 251.03 and 90.25

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Solution

The fourth proportional to 167.29, 251.03 and 90.25 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.29 : 251.03 = 90.25 : x
  2. Step 2: Convert to fraction form
    167.29/251.03 = 90.25/x
  3. Step 3: Cross multiply
    167.29x = 251.03 × 90.25
  4. Step 4: Simplify right side
    167.29x = 22,655.66
  5. Step 5: Solve for x
    x = 22,655.66/167.29
  6. Step 6: Final answer
    x = 135.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.