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Finding the Fourth Proportional to 167.97, 250.80 and 143.67

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Solution

The fourth proportional to 167.97, 250.80 and 143.67 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 250.80 = 143.67 : x
  2. Step 2: Convert to fraction form
    167.97/250.80 = 143.67/x
  3. Step 3: Cross multiply
    167.97x = 250.80 × 143.67
  4. Step 4: Simplify right side
    167.97x = 36,032.44
  5. Step 5: Solve for x
    x = 36,032.44/167.97
  6. Step 6: Final answer
    x = 214.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.