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Finding the Fourth Proportional to 521.06, 781 and 212.52

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Solution

The fourth proportional to 521.06, 781 and 212.52 is: 318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 781 = 212.52 : x
  2. Step 2: Convert to fraction form
    521.06/781 = 212.52/x
  3. Step 3: Cross multiply
    521.06x = 781 × 212.52
  4. Step 4: Simplify right side
    521.06x = 165,978.12
  5. Step 5: Solve for x
    x = 165,978.12/521.06
  6. Step 6: Final answer
    x = 318.54

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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.