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Finding the Fourth Proportional to 521.12, 782 and 196.72

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Solution

The fourth proportional to 521.12, 782 and 196.72 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 782 = 196.72 : x
  2. Step 2: Convert to fraction form
    521.12/782 = 196.72/x
  3. Step 3: Cross multiply
    521.12x = 782 × 196.72
  4. Step 4: Simplify right side
    521.12x = 153,835.04
  5. Step 5: Solve for x
    x = 153,835.04/521.12
  6. Step 6: Final answer
    x = 295.20

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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.