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Finding the Fourth Proportional to 167.80, 250.87 and 142.40

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Solution

The fourth proportional to 167.80, 250.87 and 142.40 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 250.87 = 142.40 : x
  2. Step 2: Convert to fraction form
    167.80/250.87 = 142.40/x
  3. Step 3: Cross multiply
    167.80x = 250.87 × 142.40
  4. Step 4: Simplify right side
    167.80x = 35,723.89
  5. Step 5: Solve for x
    x = 35,723.89/167.80
  6. Step 6: Final answer
    x = 212.90

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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.