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Finding the Fourth Proportional to 316.20, 473.92 and 194.64

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Solution

The fourth proportional to 316.20, 473.92 and 194.64 is: 291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 473.92 = 194.64 : x
  2. Step 2: Convert to fraction form
    316.20/473.92 = 194.64/x
  3. Step 3: Cross multiply
    316.20x = 473.92 × 194.64
  4. Step 4: Simplify right side
    316.20x = 92,243.79
  5. Step 5: Solve for x
    x = 92,243.79/316.20
  6. Step 6: Final answer
    x = 291.73

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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.