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Finding the Fourth Proportional to 279.20, 383.67 and 266.52

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Solution

The fourth proportional to 279.20, 383.67 and 266.52 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 383.67 = 266.52 : x
  2. Step 2: Convert to fraction form
    279.20/383.67 = 266.52/x
  3. Step 3: Cross multiply
    279.20x = 383.67 × 266.52
  4. Step 4: Simplify right side
    279.20x = 102,255.73
  5. Step 5: Solve for x
    x = 102,255.73/279.20
  6. Step 6: Final answer
    x = 366.25

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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.