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Finding the Fourth Proportional to 337.97, 507.26 and 270.27

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Solution

The fourth proportional to 337.97, 507.26 and 270.27 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 507.26 = 270.27 : x
  2. Step 2: Convert to fraction form
    337.97/507.26 = 270.27/x
  3. Step 3: Cross multiply
    337.97x = 507.26 × 270.27
  4. Step 4: Simplify right side
    337.97x = 137,097.84
  5. Step 5: Solve for x
    x = 137,097.84/337.97
  6. Step 6: Final answer
    x = 405.65

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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.