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Finding the Fourth Proportional to 279.54, 417.06 and 269.04

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Solution

The fourth proportional to 279.54, 417.06 and 269.04 is: 401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.54 : 417.06 = 269.04 : x
  2. Step 2: Convert to fraction form
    279.54/417.06 = 269.04/x
  3. Step 3: Cross multiply
    279.54x = 417.06 × 269.04
  4. Step 4: Simplify right side
    279.54x = 112,205.82
  5. Step 5: Solve for x
    x = 112,205.82/279.54
  6. Step 6: Final answer
    x = 401.39

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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.