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Finding the Fourth Proportional to 251.74, 378.07 and 232.46

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Solution

The fourth proportional to 251.74, 378.07 and 232.46 is: 349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 378.07 = 232.46 : x
  2. Step 2: Convert to fraction form
    251.74/378.07 = 232.46/x
  3. Step 3: Cross multiply
    251.74x = 378.07 × 232.46
  4. Step 4: Simplify right side
    251.74x = 87,886.15
  5. Step 5: Solve for x
    x = 87,886.15/251.74
  6. Step 6: Final answer
    x = 349.11

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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.