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Finding the Fourth Proportional to 338.68, 466.32 and 294.76

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Solution

The fourth proportional to 338.68, 466.32 and 294.76 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 466.32 = 294.76 : x
  2. Step 2: Convert to fraction form
    338.68/466.32 = 294.76/x
  3. Step 3: Cross multiply
    338.68x = 466.32 × 294.76
  4. Step 4: Simplify right side
    338.68x = 137,452.48
  5. Step 5: Solve for x
    x = 137,452.48/338.68
  6. Step 6: Final answer
    x = 405.85

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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.