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Finding the Fourth Proportional to 337.74, 504.62 and 280.14

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Solution

The fourth proportional to 337.74, 504.62 and 280.14 is: 418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.74 : 504.62 = 280.14 : x
  2. Step 2: Convert to fraction form
    337.74/504.62 = 280.14/x
  3. Step 3: Cross multiply
    337.74x = 504.62 × 280.14
  4. Step 4: Simplify right side
    337.74x = 141,362.85
  5. Step 5: Solve for x
    x = 141,362.85/337.74
  6. Step 6: Final answer
    x = 418.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.