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Finding the Fourth Proportional to 399.70, 551.50 and 269.09

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Solution

The fourth proportional to 399.70, 551.50 and 269.09 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 551.50 = 269.09 : x
  2. Step 2: Convert to fraction form
    399.70/551.50 = 269.09/x
  3. Step 3: Cross multiply
    399.70x = 551.50 × 269.09
  4. Step 4: Simplify right side
    399.70x = 148,403.14
  5. Step 5: Solve for x
    x = 148,403.14/399.70
  6. Step 6: Final answer
    x = 371.29

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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.