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Finding the Fourth Proportional to 269.03, 400.79 and 259.23

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Solution

The fourth proportional to 269.03, 400.79 and 259.23 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.03 : 400.79 = 259.23 : x
  2. Step 2: Convert to fraction form
    269.03/400.79 = 259.23/x
  3. Step 3: Cross multiply
    269.03x = 400.79 × 259.23
  4. Step 4: Simplify right side
    269.03x = 103,898.94
  5. Step 5: Solve for x
    x = 103,898.94/269.03
  6. Step 6: Final answer
    x = 386.19

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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.