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Finding the Fourth Proportional to 250.14, 344.89 and 167.12

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Solution

The fourth proportional to 250.14, 344.89 and 167.12 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 344.89 = 167.12 : x
  2. Step 2: Convert to fraction form
    250.14/344.89 = 167.12/x
  3. Step 3: Cross multiply
    250.14x = 344.89 × 167.12
  4. Step 4: Simplify right side
    250.14x = 57,638.02
  5. Step 5: Solve for x
    x = 57,638.02/250.14
  6. Step 6: Final answer
    x = 230.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.