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Finding the Fourth Proportional to 631.96, 948.08 and 199.16

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Solution

The fourth proportional to 631.96, 948.08 and 199.16 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.96 : 948.08 = 199.16 : x
  2. Step 2: Convert to fraction form
    631.96/948.08 = 199.16/x
  3. Step 3: Cross multiply
    631.96x = 948.08 × 199.16
  4. Step 4: Simplify right side
    631.96x = 188,819.61
  5. Step 5: Solve for x
    x = 188,819.61/631.96
  6. Step 6: Final answer
    x = 298.78

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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.