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Finding the Fourth Proportional to 262.81, 394.20 and 80.19

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Solution

The fourth proportional to 262.81, 394.20 and 80.19 is: 120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 394.20 = 80.19 : x
  2. Step 2: Convert to fraction form
    262.81/394.20 = 80.19/x
  3. Step 3: Cross multiply
    262.81x = 394.20 × 80.19
  4. Step 4: Simplify right side
    262.81x = 31,611.10
  5. Step 5: Solve for x
    x = 31,611.10/262.81
  6. Step 6: Final answer
    x = 120.28

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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.