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Finding the Fourth Proportional to 167.22, 250.35 and 102.66

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Solution

The fourth proportional to 167.22, 250.35 and 102.66 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 250.35 = 102.66 : x
  2. Step 2: Convert to fraction form
    167.22/250.35 = 102.66/x
  3. Step 3: Cross multiply
    167.22x = 250.35 × 102.66
  4. Step 4: Simplify right side
    167.22x = 25,700.93
  5. Step 5: Solve for x
    x = 25,700.93/167.22
  6. Step 6: Final answer
    x = 153.70

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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.