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Finding the Fourth Proportional to 338.17, 466.61 and 203.56

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Solution

The fourth proportional to 338.17, 466.61 and 203.56 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.17 : 466.61 = 203.56 : x
  2. Step 2: Convert to fraction form
    338.17/466.61 = 203.56/x
  3. Step 3: Cross multiply
    338.17x = 466.61 × 203.56
  4. Step 4: Simplify right side
    338.17x = 94,979.78
  5. Step 5: Solve for x
    x = 94,979.78/338.17
  6. Step 6: Final answer
    x = 280.86

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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.