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Finding the Fourth Proportional to 167.90, 252.90 and 158.80

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Solution

The fourth proportional to 167.90, 252.90 and 158.80 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 252.90 = 158.80 : x
  2. Step 2: Convert to fraction form
    167.90/252.90 = 158.80/x
  3. Step 3: Cross multiply
    167.90x = 252.90 × 158.80
  4. Step 4: Simplify right side
    167.90x = 40,160.52
  5. Step 5: Solve for x
    x = 40,160.52/167.90
  6. Step 6: Final answer
    x = 239.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.