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Finding the Fourth Proportional to 338.46, 466.65 and 276.23

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Solution

The fourth proportional to 338.46, 466.65 and 276.23 is: 380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.46 : 466.65 = 276.23 : x
  2. Step 2: Convert to fraction form
    338.46/466.65 = 276.23/x
  3. Step 3: Cross multiply
    338.46x = 466.65 × 276.23
  4. Step 4: Simplify right side
    338.46x = 128,902.73
  5. Step 5: Solve for x
    x = 128,902.73/338.46
  6. Step 6: Final answer
    x = 380.85

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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.