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Finding the Fourth Proportional to 189.20, 281.92 and 180.48

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Solution

The fourth proportional to 189.20, 281.92 and 180.48 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 281.92 = 180.48 : x
  2. Step 2: Convert to fraction form
    189.20/281.92 = 180.48/x
  3. Step 3: Cross multiply
    189.20x = 281.92 × 180.48
  4. Step 4: Simplify right side
    189.20x = 50,880.92
  5. Step 5: Solve for x
    x = 50,880.92/189.20
  6. Step 6: Final answer
    x = 268.93

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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.