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Finding the Fourth Proportional to 269.30, 378.10 and 269.30

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Solution

The fourth proportional to 269.30, 378.10 and 269.30 is: 378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 378.10 = 269.30 : x
  2. Step 2: Convert to fraction form
    269.30/378.10 = 269.30/x
  3. Step 3: Cross multiply
    269.30x = 378.10 × 269.30
  4. Step 4: Simplify right side
    269.30x = 101,822.33
  5. Step 5: Solve for x
    x = 101,822.33/269.30
  6. Step 6: Final answer
    x = 378.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.