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Finding the Fourth Proportional to 308.61, 423.18 and 298.26

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Solution

The fourth proportional to 308.61, 423.18 and 298.26 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 423.18 = 298.26 : x
  2. Step 2: Convert to fraction form
    308.61/423.18 = 298.26/x
  3. Step 3: Cross multiply
    308.61x = 423.18 × 298.26
  4. Step 4: Simplify right side
    308.61x = 126,217.67
  5. Step 5: Solve for x
    x = 126,217.67/308.61
  6. Step 6: Final answer
    x = 408.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.