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Finding the Fourth Proportional to 418.22, 576.78 and 270.80

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Solution

The fourth proportional to 418.22, 576.78 and 270.80 is: 373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 576.78 = 270.80 : x
  2. Step 2: Convert to fraction form
    418.22/576.78 = 270.80/x
  3. Step 3: Cross multiply
    418.22x = 576.78 × 270.80
  4. Step 4: Simplify right side
    418.22x = 156,192.02
  5. Step 5: Solve for x
    x = 156,192.02/418.22
  6. Step 6: Final answer
    x = 373.47

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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.