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Finding the Fourth Proportional to 189.73, 282.83 and 187.57

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Solution

The fourth proportional to 189.73, 282.83 and 187.57 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.73 : 282.83 = 187.57 : x
  2. Step 2: Convert to fraction form
    189.73/282.83 = 187.57/x
  3. Step 3: Cross multiply
    189.73x = 282.83 × 187.57
  4. Step 4: Simplify right side
    189.73x = 53,050.42
  5. Step 5: Solve for x
    x = 53,050.42/189.73
  6. Step 6: Final answer
    x = 279.61

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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.