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Finding the Fourth Proportional to 279.27, 383.85 and 223.92

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Solution

The fourth proportional to 279.27, 383.85 and 223.92 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.27 : 383.85 = 223.92 : x
  2. Step 2: Convert to fraction form
    279.27/383.85 = 223.92/x
  3. Step 3: Cross multiply
    279.27x = 383.85 × 223.92
  4. Step 4: Simplify right side
    279.27x = 85,951.69
  5. Step 5: Solve for x
    x = 85,951.69/279.27
  6. Step 6: Final answer
    x = 307.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.