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Finding the Fourth Proportional to 269.19, 406.06 and 257.85

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Solution

The fourth proportional to 269.19, 406.06 and 257.85 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.19 : 406.06 = 257.85 : x
  2. Step 2: Convert to fraction form
    269.19/406.06 = 257.85/x
  3. Step 3: Cross multiply
    269.19x = 406.06 × 257.85
  4. Step 4: Simplify right side
    269.19x = 104,701.93
  5. Step 5: Solve for x
    x = 104,701.93/269.19
  6. Step 6: Final answer
    x = 388.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.