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Finding the Fourth Proportional to 308.28, 424.46 and 261.56

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Solution

The fourth proportional to 308.28, 424.46 and 261.56 is: 360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.28 : 424.46 = 261.56 : x
  2. Step 2: Convert to fraction form
    308.28/424.46 = 261.56/x
  3. Step 3: Cross multiply
    308.28x = 424.46 × 261.56
  4. Step 4: Simplify right side
    308.28x = 111,018.33
  5. Step 5: Solve for x
    x = 111,018.33/308.28
  6. Step 6: Final answer
    x = 360.12

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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.