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Finding the Fourth Proportional to 269.01, 369.32 and 257.16

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Solution

The fourth proportional to 269.01, 369.32 and 257.16 is: 353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.01 : 369.32 = 257.16 : x
  2. Step 2: Convert to fraction form
    269.01/369.32 = 257.16/x
  3. Step 3: Cross multiply
    269.01x = 369.32 × 257.16
  4. Step 4: Simplify right side
    269.01x = 94,974.33
  5. Step 5: Solve for x
    x = 94,974.33/269.01
  6. Step 6: Final answer
    x = 353.05

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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.