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Finding the Fourth Proportional to 189.50, 282.08 and 180.65

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Solution

The fourth proportional to 189.50, 282.08 and 180.65 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 282.08 = 180.65 : x
  2. Step 2: Convert to fraction form
    189.50/282.08 = 180.65/x
  3. Step 3: Cross multiply
    189.50x = 282.08 × 180.65
  4. Step 4: Simplify right side
    189.50x = 50,957.75
  5. Step 5: Solve for x
    x = 50,957.75/189.50
  6. Step 6: Final answer
    x = 268.91

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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.