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Finding the Fourth Proportional to 268.29, 401.79 and 186.87

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Solution

The fourth proportional to 268.29, 401.79 and 186.87 is: 279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.29 : 401.79 = 186.87 : x
  2. Step 2: Convert to fraction form
    268.29/401.79 = 186.87/x
  3. Step 3: Cross multiply
    268.29x = 401.79 × 186.87
  4. Step 4: Simplify right side
    268.29x = 75,082.50
  5. Step 5: Solve for x
    x = 75,082.50/268.29
  6. Step 6: Final answer
    x = 279.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.