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Finding the Fourth Proportional to 503.60, 755.18 and 229.78

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Solution

The fourth proportional to 503.60, 755.18 and 229.78 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 755.18 = 229.78 : x
  2. Step 2: Convert to fraction form
    503.60/755.18 = 229.78/x
  3. Step 3: Cross multiply
    503.60x = 755.18 × 229.78
  4. Step 4: Simplify right side
    503.60x = 173,520.34
  5. Step 5: Solve for x
    x = 173,520.34/503.60
  6. Step 6: Final answer
    x = 344.56

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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.