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Finding the Fourth Proportional to 338.13, 466.29 and 213.66

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Solution

The fourth proportional to 338.13, 466.29 and 213.66 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 466.29 = 213.66 : x
  2. Step 2: Convert to fraction form
    338.13/466.29 = 213.66/x
  3. Step 3: Cross multiply
    338.13x = 466.29 × 213.66
  4. Step 4: Simplify right side
    338.13x = 99,627.52
  5. Step 5: Solve for x
    x = 99,627.52/338.13
  6. Step 6: Final answer
    x = 294.64

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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.