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Finding the Fourth Proportional to 232.14, 347.40 and 144.26

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Solution

The fourth proportional to 232.14, 347.40 and 144.26 is: 215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 347.40 = 144.26 : x
  2. Step 2: Convert to fraction form
    232.14/347.40 = 144.26/x
  3. Step 3: Cross multiply
    232.14x = 347.40 × 144.26
  4. Step 4: Simplify right side
    232.14x = 50,114.55
  5. Step 5: Solve for x
    x = 50,114.55/232.14
  6. Step 6: Final answer
    x = 215.88

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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.