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Finding the Fourth Proportional to 269.83, 405.51 and 262.36

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Solution

The fourth proportional to 269.83, 405.51 and 262.36 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.83 : 405.51 = 262.36 : x
  2. Step 2: Convert to fraction form
    269.83/405.51 = 262.36/x
  3. Step 3: Cross multiply
    269.83x = 405.51 × 262.36
  4. Step 4: Simplify right side
    269.83x = 106,389.60
  5. Step 5: Solve for x
    x = 106,389.60/269.83
  6. Step 6: Final answer
    x = 394.28

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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.