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Finding the Fourth Proportional to 262.98, 394.47 and 80.37

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Solution

The fourth proportional to 262.98, 394.47 and 80.37 is: 120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 394.47 = 80.37 : x
  2. Step 2: Convert to fraction form
    262.98/394.47 = 80.37/x
  3. Step 3: Cross multiply
    262.98x = 394.47 × 80.37
  4. Step 4: Simplify right side
    262.98x = 31,703.55
  5. Step 5: Solve for x
    x = 31,703.55/262.98
  6. Step 6: Final answer
    x = 120.56

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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.