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Finding the Fourth Proportional to 189.28, 281.99 and 180.10

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Solution

The fourth proportional to 189.28, 281.99 and 180.10 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.28 : 281.99 = 180.10 : x
  2. Step 2: Convert to fraction form
    189.28/281.99 = 180.10/x
  3. Step 3: Cross multiply
    189.28x = 281.99 × 180.10
  4. Step 4: Simplify right side
    189.28x = 50,786.40
  5. Step 5: Solve for x
    x = 50,786.40/189.28
  6. Step 6: Final answer
    x = 268.31

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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.