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Finding the Fourth Proportional to 269.44, 370.16 and 259.27

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Solution

The fourth proportional to 269.44, 370.16 and 259.27 is: 356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 370.16 = 259.27 : x
  2. Step 2: Convert to fraction form
    269.44/370.16 = 259.27/x
  3. Step 3: Cross multiply
    269.44x = 370.16 × 259.27
  4. Step 4: Simplify right side
    269.44x = 95,971.38
  5. Step 5: Solve for x
    x = 95,971.38/269.44
  6. Step 6: Final answer
    x = 356.19

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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.