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Finding the Fourth Proportional to 316.62, 475.01 and 100.20

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Solution

The fourth proportional to 316.62, 475.01 and 100.20 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 475.01 = 100.20 : x
  2. Step 2: Convert to fraction form
    316.62/475.01 = 100.20/x
  3. Step 3: Cross multiply
    316.62x = 475.01 × 100.20
  4. Step 4: Simplify right side
    316.62x = 47,593.37
  5. Step 5: Solve for x
    x = 47,593.37/316.62
  6. Step 6: Final answer
    x = 150.32

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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.