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Finding the Fourth Proportional to 338.72, 506.34 and 251.24

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Solution

The fourth proportional to 338.72, 506.34 and 251.24 is: 375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 506.34 = 251.24 : x
  2. Step 2: Convert to fraction form
    338.72/506.34 = 251.24/x
  3. Step 3: Cross multiply
    338.72x = 506.34 × 251.24
  4. Step 4: Simplify right side
    338.72x = 127,210.33
  5. Step 5: Solve for x
    x = 127,210.33/338.72
  6. Step 6: Final answer
    x = 375.57

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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.