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Finding the Fourth Proportional to 316.82, 475.28 and 154.56

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Solution

The fourth proportional to 316.82, 475.28 and 154.56 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 475.28 = 154.56 : x
  2. Step 2: Convert to fraction form
    316.82/475.28 = 154.56/x
  3. Step 3: Cross multiply
    316.82x = 475.28 × 154.56
  4. Step 4: Simplify right side
    316.82x = 73,459.28
  5. Step 5: Solve for x
    x = 73,459.28/316.82
  6. Step 6: Final answer
    x = 231.86

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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.