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Finding the Fourth Proportional to 415.43, 573.25 and 240.75

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Solution

The fourth proportional to 415.43, 573.25 and 240.75 is: 332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 573.25 = 240.75 : x
  2. Step 2: Convert to fraction form
    415.43/573.25 = 240.75/x
  3. Step 3: Cross multiply
    415.43x = 573.25 × 240.75
  4. Step 4: Simplify right side
    415.43x = 138,009.34
  5. Step 5: Solve for x
    x = 138,009.34/415.43
  6. Step 6: Final answer
    x = 332.21

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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.