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Finding the Fourth Proportional to 415.53, 573.40 and 249.83

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Solution

The fourth proportional to 415.53, 573.40 and 249.83 is: 344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 573.40 = 249.83 : x
  2. Step 2: Convert to fraction form
    415.53/573.40 = 249.83/x
  3. Step 3: Cross multiply
    415.53x = 573.40 × 249.83
  4. Step 4: Simplify right side
    415.53x = 143,256.05
  5. Step 5: Solve for x
    x = 143,256.05/415.53
  6. Step 6: Final answer
    x = 344.76

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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.