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Finding the Fourth Proportional to 316.78, 475.24 and 105.72

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Solution

The fourth proportional to 316.78, 475.24 and 105.72 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 475.24 = 105.72 : x
  2. Step 2: Convert to fraction form
    316.78/475.24 = 105.72/x
  3. Step 3: Cross multiply
    316.78x = 475.24 × 105.72
  4. Step 4: Simplify right side
    316.78x = 50,241.04
  5. Step 5: Solve for x
    x = 50,241.04/316.78
  6. Step 6: Final answer
    x = 158.60

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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.