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Finding the Fourth Proportional to 269.16, 370.42 and 249.32

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Solution

The fourth proportional to 269.16, 370.42 and 249.32 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 370.42 = 249.32 : x
  2. Step 2: Convert to fraction form
    269.16/370.42 = 249.32/x
  3. Step 3: Cross multiply
    269.16x = 370.42 × 249.32
  4. Step 4: Simplify right side
    269.16x = 92,353.11
  5. Step 5: Solve for x
    x = 92,353.11/269.16
  6. Step 6: Final answer
    x = 343.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.