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Finding the Fourth Proportional to 400.27, 597.55 and 338.76

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Solution

The fourth proportional to 400.27, 597.55 and 338.76 is: 505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 597.55 = 338.76 : x
  2. Step 2: Convert to fraction form
    400.27/597.55 = 338.76/x
  3. Step 3: Cross multiply
    400.27x = 597.55 × 338.76
  4. Step 4: Simplify right side
    400.27x = 202,425.10
  5. Step 5: Solve for x
    x = 202,425.10/400.27
  6. Step 6: Final answer
    x = 505.73

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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.