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Finding the Fourth Proportional to 279.13, 383.89 and 223.78

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Solution

The fourth proportional to 279.13, 383.89 and 223.78 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.13 : 383.89 = 223.78 : x
  2. Step 2: Convert to fraction form
    279.13/383.89 = 223.78/x
  3. Step 3: Cross multiply
    279.13x = 383.89 × 223.78
  4. Step 4: Simplify right side
    279.13x = 85,903.87
  5. Step 5: Solve for x
    x = 85,903.87/279.13
  6. Step 6: Final answer
    x = 307.76

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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.