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Finding the Fourth Proportional to 308.72, 462.96 and 193.22

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Solution

The fourth proportional to 308.72, 462.96 and 193.22 is: 289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.72 : 462.96 = 193.22 : x
  2. Step 2: Convert to fraction form
    308.72/462.96 = 193.22/x
  3. Step 3: Cross multiply
    308.72x = 462.96 × 193.22
  4. Step 4: Simplify right side
    308.72x = 89,453.13
  5. Step 5: Solve for x
    x = 89,453.13/308.72
  6. Step 6: Final answer
    x = 289.75

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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.