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Finding the Fourth Proportional to 262.77, 394.05 and 132.85

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Solution

The fourth proportional to 262.77, 394.05 and 132.85 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 394.05 = 132.85 : x
  2. Step 2: Convert to fraction form
    262.77/394.05 = 132.85/x
  3. Step 3: Cross multiply
    262.77x = 394.05 × 132.85
  4. Step 4: Simplify right side
    262.77x = 52,347.57
  5. Step 5: Solve for x
    x = 52,347.57/262.77
  6. Step 6: Final answer
    x = 199.21

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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.