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Finding the Fourth Proportional to 484.76, 727.19 and 224.78

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Solution

The fourth proportional to 484.76, 727.19 and 224.78 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.76 : 727.19 = 224.78 : x
  2. Step 2: Convert to fraction form
    484.76/727.19 = 224.78/x
  3. Step 3: Cross multiply
    484.76x = 727.19 × 224.78
  4. Step 4: Simplify right side
    484.76x = 163,453.01
  5. Step 5: Solve for x
    x = 163,453.01/484.76
  6. Step 6: Final answer
    x = 337.19

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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.