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Finding the Fourth Proportional to 262.56, 391.44 and 261

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Solution

The fourth proportional to 262.56, 391.44 and 261 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.56 : 391.44 = 261 : x
  2. Step 2: Convert to fraction form
    262.56/391.44 = 261/x
  3. Step 3: Cross multiply
    262.56x = 391.44 × 261
  4. Step 4: Simplify right side
    262.56x = 102,165.84
  5. Step 5: Solve for x
    x = 102,165.84/262.56
  6. Step 6: Final answer
    x = 389.11

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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.