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Finding the Fourth Proportional to 338.22, 466.17 and 272.70

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Solution

The fourth proportional to 338.22, 466.17 and 272.70 is: 375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 466.17 = 272.70 : x
  2. Step 2: Convert to fraction form
    338.22/466.17 = 272.70/x
  3. Step 3: Cross multiply
    338.22x = 466.17 × 272.70
  4. Step 4: Simplify right side
    338.22x = 127,124.56
  5. Step 5: Solve for x
    x = 127,124.56/338.22
  6. Step 6: Final answer
    x = 375.86

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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.