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Finding the Fourth Proportional to 538.32, 806.48 and 213.52

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Solution

The fourth proportional to 538.32, 806.48 and 213.52 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.32 : 806.48 = 213.52 : x
  2. Step 2: Convert to fraction form
    538.32/806.48 = 213.52/x
  3. Step 3: Cross multiply
    538.32x = 806.48 × 213.52
  4. Step 4: Simplify right side
    538.32x = 172,199.61
  5. Step 5: Solve for x
    x = 172,199.61/538.32
  6. Step 6: Final answer
    x = 319.88

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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.