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Finding the Fourth Proportional to 338.00, 466.43 and 213.62

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Solution

The fourth proportional to 338.00, 466.43 and 213.62 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 466.43 = 213.62 : x
  2. Step 2: Convert to fraction form
    338.00/466.43 = 213.62/x
  3. Step 3: Cross multiply
    338.00x = 466.43 × 213.62
  4. Step 4: Simplify right side
    338.00x = 99,635.38
  5. Step 5: Solve for x
    x = 99,635.38/338.00
  6. Step 6: Final answer
    x = 294.78

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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.