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Finding the Fourth Proportional to 415.46, 573.26 and 240.78

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Solution

The fourth proportional to 415.46, 573.26 and 240.78 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 573.26 = 240.78 : x
  2. Step 2: Convert to fraction form
    415.46/573.26 = 240.78/x
  3. Step 3: Cross multiply
    415.46x = 573.26 × 240.78
  4. Step 4: Simplify right side
    415.46x = 138,029.54
  5. Step 5: Solve for x
    x = 138,029.54/415.46
  6. Step 6: Final answer
    x = 332.23

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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.