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Finding the Fourth Proportional to 316.68, 475.12 and 162.71

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Solution

The fourth proportional to 316.68, 475.12 and 162.71 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 475.12 = 162.71 : x
  2. Step 2: Convert to fraction form
    316.68/475.12 = 162.71/x
  3. Step 3: Cross multiply
    316.68x = 475.12 × 162.71
  4. Step 4: Simplify right side
    316.68x = 77,307.15
  5. Step 5: Solve for x
    x = 77,307.15/316.68
  6. Step 6: Final answer
    x = 244.12

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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.