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Finding the Fourth Proportional to 262.68, 391.77 and 232.44

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Solution

The fourth proportional to 262.68, 391.77 and 232.44 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 391.77 = 232.44 : x
  2. Step 2: Convert to fraction form
    262.68/391.77 = 232.44/x
  3. Step 3: Cross multiply
    262.68x = 391.77 × 232.44
  4. Step 4: Simplify right side
    262.68x = 91,063.02
  5. Step 5: Solve for x
    x = 91,063.02/262.68
  6. Step 6: Final answer
    x = 346.67

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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.