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Finding the Fourth Proportional to 308.44, 424.74 and 275.68

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Solution

The fourth proportional to 308.44, 424.74 and 275.68 is: 379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.44 : 424.74 = 275.68 : x
  2. Step 2: Convert to fraction form
    308.44/424.74 = 275.68/x
  3. Step 3: Cross multiply
    308.44x = 424.74 × 275.68
  4. Step 4: Simplify right side
    308.44x = 117,092.32
  5. Step 5: Solve for x
    x = 117,092.32/308.44
  6. Step 6: Final answer
    x = 379.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.