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Finding the Fourth Proportional to 394.54, 593.03 and 251.17

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Solution

The fourth proportional to 394.54, 593.03 and 251.17 is: 377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.54 : 593.03 = 251.17 : x
  2. Step 2: Convert to fraction form
    394.54/593.03 = 251.17/x
  3. Step 3: Cross multiply
    394.54x = 593.03 × 251.17
  4. Step 4: Simplify right side
    394.54x = 148,951.35
  5. Step 5: Solve for x
    x = 148,951.35/394.54
  6. Step 6: Final answer
    x = 377.53

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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.