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Finding the Fourth Proportional to 316.90, 475.42 and 100.47

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Solution

The fourth proportional to 316.90, 475.42 and 100.47 is: 150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 475.42 = 100.47 : x
  2. Step 2: Convert to fraction form
    316.90/475.42 = 100.47/x
  3. Step 3: Cross multiply
    316.90x = 475.42 × 100.47
  4. Step 4: Simplify right side
    316.90x = 47,765.45
  5. Step 5: Solve for x
    x = 47,765.45/316.90
  6. Step 6: Final answer
    x = 150.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.