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Finding the Fourth Proportional to 279.25, 421.13 and 277.43

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Solution

The fourth proportional to 279.25, 421.13 and 277.43 is: 418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.25 : 421.13 = 277.43 : x
  2. Step 2: Convert to fraction form
    279.25/421.13 = 277.43/x
  3. Step 3: Cross multiply
    279.25x = 421.13 × 277.43
  4. Step 4: Simplify right side
    279.25x = 116,833.49
  5. Step 5: Solve for x
    x = 116,833.49/279.25
  6. Step 6: Final answer
    x = 418.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.