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Finding the Fourth Proportional to 316.62, 473.96 and 194.48

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Solution

The fourth proportional to 316.62, 473.96 and 194.48 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 473.96 = 194.48 : x
  2. Step 2: Convert to fraction form
    316.62/473.96 = 194.48/x
  3. Step 3: Cross multiply
    316.62x = 473.96 × 194.48
  4. Step 4: Simplify right side
    316.62x = 92,175.74
  5. Step 5: Solve for x
    x = 92,175.74/316.62
  6. Step 6: Final answer
    x = 291.12

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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.