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Finding the Fourth Proportional to 308.66, 424.18 and 294.39

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Solution

The fourth proportional to 308.66, 424.18 and 294.39 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 424.18 = 294.39 : x
  2. Step 2: Convert to fraction form
    308.66/424.18 = 294.39/x
  3. Step 3: Cross multiply
    308.66x = 424.18 × 294.39
  4. Step 4: Simplify right side
    308.66x = 124,873.61
  5. Step 5: Solve for x
    x = 124,873.61/308.66
  6. Step 6: Final answer
    x = 404.56

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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.