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Finding the Fourth Proportional to 279.41, 421.62 and 268.17

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Solution

The fourth proportional to 279.41, 421.62 and 268.17 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.41 : 421.62 = 268.17 : x
  2. Step 2: Convert to fraction form
    279.41/421.62 = 268.17/x
  3. Step 3: Cross multiply
    279.41x = 421.62 × 268.17
  4. Step 4: Simplify right side
    279.41x = 113,066.22
  5. Step 5: Solve for x
    x = 113,066.22/279.41
  6. Step 6: Final answer
    x = 404.66

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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.