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Finding the Fourth Proportional to 338.38, 504.49 and 317.72

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Solution

The fourth proportional to 338.38, 504.49 and 317.72 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 504.49 = 317.72 : x
  2. Step 2: Convert to fraction form
    338.38/504.49 = 317.72/x
  3. Step 3: Cross multiply
    338.38x = 504.49 × 317.72
  4. Step 4: Simplify right side
    338.38x = 160,286.56
  5. Step 5: Solve for x
    x = 160,286.56/338.38
  6. Step 6: Final answer
    x = 473.70

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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.