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Finding the Fourth Proportional to 521.12, 781.44 and 213.12

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Solution

The fourth proportional to 521.12, 781.44 and 213.12 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 781.44 = 213.12 : x
  2. Step 2: Convert to fraction form
    521.12/781.44 = 213.12/x
  3. Step 3: Cross multiply
    521.12x = 781.44 × 213.12
  4. Step 4: Simplify right side
    521.12x = 166,540.49
  5. Step 5: Solve for x
    x = 166,540.49/521.12
  6. Step 6: Final answer
    x = 319.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.