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Finding the Fourth Proportional to 279.82, 385.50 and 217.42

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Solution

The fourth proportional to 279.82, 385.50 and 217.42 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.82 : 385.50 = 217.42 : x
  2. Step 2: Convert to fraction form
    279.82/385.50 = 217.42/x
  3. Step 3: Cross multiply
    279.82x = 385.50 × 217.42
  4. Step 4: Simplify right side
    279.82x = 83,815.41
  5. Step 5: Solve for x
    x = 83,815.41/279.82
  6. Step 6: Final answer
    x = 299.53

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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.