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Finding the Fourth Proportional to 167.96, 250.90 and 142.16

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Solution

The fourth proportional to 167.96, 250.90 and 142.16 is: 212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 250.90 = 142.16 : x
  2. Step 2: Convert to fraction form
    167.96/250.90 = 142.16/x
  3. Step 3: Cross multiply
    167.96x = 250.90 × 142.16
  4. Step 4: Simplify right side
    167.96x = 35,667.94
  5. Step 5: Solve for x
    x = 35,667.94/167.96
  6. Step 6: Final answer
    x = 212.36

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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.