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Finding the Fourth Proportional to 270.51, 403.86 and 224.97

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Solution

The fourth proportional to 270.51, 403.86 and 224.97 is: 335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.51 : 403.86 = 224.97 : x
  2. Step 2: Convert to fraction form
    270.51/403.86 = 224.97/x
  3. Step 3: Cross multiply
    270.51x = 403.86 × 224.97
  4. Step 4: Simplify right side
    270.51x = 90,856.38
  5. Step 5: Solve for x
    x = 90,856.38/270.51
  6. Step 6: Final answer
    x = 335.87

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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.