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Finding the Fourth Proportional to 417.97, 576.80 and 270.60

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Solution

The fourth proportional to 417.97, 576.80 and 270.60 is: 373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.97 : 576.80 = 270.60 : x
  2. Step 2: Convert to fraction form
    417.97/576.80 = 270.60/x
  3. Step 3: Cross multiply
    417.97x = 576.80 × 270.60
  4. Step 4: Simplify right side
    417.97x = 156,080.73
  5. Step 5: Solve for x
    x = 156,080.73/417.97
  6. Step 6: Final answer
    x = 373.43

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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.