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Finding the Fourth Proportional to 279.14, 386.25 and 242.42

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Solution

The fourth proportional to 279.14, 386.25 and 242.42 is: 335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 386.25 = 242.42 : x
  2. Step 2: Convert to fraction form
    279.14/386.25 = 242.42/x
  3. Step 3: Cross multiply
    279.14x = 386.25 × 242.42
  4. Step 4: Simplify right side
    279.14x = 93,634.73
  5. Step 5: Solve for x
    x = 93,634.73/279.14
  6. Step 6: Final answer
    x = 335.44

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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.