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Finding the Fourth Proportional to 279.43, 417.49 and 269.86

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Solution

The fourth proportional to 279.43, 417.49 and 269.86 is: 403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.43 : 417.49 = 269.86 : x
  2. Step 2: Convert to fraction form
    279.43/417.49 = 269.86/x
  3. Step 3: Cross multiply
    279.43x = 417.49 × 269.86
  4. Step 4: Simplify right side
    279.43x = 112,660.41
  5. Step 5: Solve for x
    x = 112,660.41/279.43
  6. Step 6: Final answer
    x = 403.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.