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Finding the Fourth Proportional to 308.03, 424.11 and 261.31

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Solution

The fourth proportional to 308.03, 424.11 and 261.31 is: 359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.03 : 424.11 = 261.31 : x
  2. Step 2: Convert to fraction form
    308.03/424.11 = 261.31/x
  3. Step 3: Cross multiply
    308.03x = 424.11 × 261.31
  4. Step 4: Simplify right side
    308.03x = 110,822.06
  5. Step 5: Solve for x
    x = 110,822.06/308.03
  6. Step 6: Final answer
    x = 359.78

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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.