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Finding the Fourth Proportional to 269.78, 405.36 and 262.25

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Solution

The fourth proportional to 269.78, 405.36 and 262.25 is: 394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 405.36 = 262.25 : x
  2. Step 2: Convert to fraction form
    269.78/405.36 = 262.25/x
  3. Step 3: Cross multiply
    269.78x = 405.36 × 262.25
  4. Step 4: Simplify right side
    269.78x = 106,306.67
  5. Step 5: Solve for x
    x = 106,306.67/269.78
  6. Step 6: Final answer
    x = 394.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.