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Finding the Fourth Proportional to 338.38, 505.61 and 269.17

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Solution

The fourth proportional to 338.38, 505.61 and 269.17 is: 402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 505.61 = 269.17 : x
  2. Step 2: Convert to fraction form
    338.38/505.61 = 269.17/x
  3. Step 3: Cross multiply
    338.38x = 505.61 × 269.17
  4. Step 4: Simplify right side
    338.38x = 136,093.44
  5. Step 5: Solve for x
    x = 136,093.44/338.38
  6. Step 6: Final answer
    x = 402.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.