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Finding the Fourth Proportional to 337.27, 508.20 and 277.73

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Solution

The fourth proportional to 337.27, 508.20 and 277.73 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.27 : 508.20 = 277.73 : x
  2. Step 2: Convert to fraction form
    337.27/508.20 = 277.73/x
  3. Step 3: Cross multiply
    337.27x = 508.20 × 277.73
  4. Step 4: Simplify right side
    337.27x = 141,142.39
  5. Step 5: Solve for x
    x = 141,142.39/337.27
  6. Step 6: Final answer
    x = 418.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.