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Finding the Fourth Proportional to 338.59, 466.26 and 331.72

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Solution

The fourth proportional to 338.59, 466.26 and 331.72 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.59 : 466.26 = 331.72 : x
  2. Step 2: Convert to fraction form
    338.59/466.26 = 331.72/x
  3. Step 3: Cross multiply
    338.59x = 466.26 × 331.72
  4. Step 4: Simplify right side
    338.59x = 154,667.77
  5. Step 5: Solve for x
    x = 154,667.77/338.59
  6. Step 6: Final answer
    x = 456.80

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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.