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Finding the Fourth Proportional to 800.12, 1,200.17 and 252.32

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Solution

The fourth proportional to 800.12, 1,200.17 and 252.32 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.12 : 1,200.17 = 252.32 : x
  2. Step 2: Convert to fraction form
    800.12/1,200.17 = 252.32/x
  3. Step 3: Cross multiply
    800.12x = 1,200.17 × 252.32
  4. Step 4: Simplify right side
    800.12x = 302,819.63
  5. Step 5: Solve for x
    x = 302,819.63/800.12
  6. Step 6: Final answer
    x = 378.47

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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.