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Finding the Fourth Proportional to 415.74, 573.54 and 249.90

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Solution

The fourth proportional to 415.74, 573.54 and 249.90 is: 344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 573.54 = 249.90 : x
  2. Step 2: Convert to fraction form
    415.74/573.54 = 249.90/x
  3. Step 3: Cross multiply
    415.74x = 573.54 × 249.90
  4. Step 4: Simplify right side
    415.74x = 143,327.65
  5. Step 5: Solve for x
    x = 143,327.65/415.74
  6. Step 6: Final answer
    x = 344.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.