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Finding the Fourth Proportional to 308.93, 462.86 and 217.19

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Solution

The fourth proportional to 308.93, 462.86 and 217.19 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.93 : 462.86 = 217.19 : x
  2. Step 2: Convert to fraction form
    308.93/462.86 = 217.19/x
  3. Step 3: Cross multiply
    308.93x = 462.86 × 217.19
  4. Step 4: Simplify right side
    308.93x = 100,528.56
  5. Step 5: Solve for x
    x = 100,528.56/308.93
  6. Step 6: Final answer
    x = 325.41

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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.