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Finding the Fourth Proportional to 270.27, 403.25 and 224.91

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Solution

The fourth proportional to 270.27, 403.25 and 224.91 is: 335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 403.25 = 224.91 : x
  2. Step 2: Convert to fraction form
    270.27/403.25 = 224.91/x
  3. Step 3: Cross multiply
    270.27x = 403.25 × 224.91
  4. Step 4: Simplify right side
    270.27x = 90,693.83
  5. Step 5: Solve for x
    x = 90,693.83/270.27
  6. Step 6: Final answer
    x = 335.57

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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.