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Finding the Fourth Proportional to 189.75, 282.87 and 187.68

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Solution

The fourth proportional to 189.75, 282.87 and 187.68 is: 279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 282.87 = 187.68 : x
  2. Step 2: Convert to fraction form
    189.75/282.87 = 187.68/x
  3. Step 3: Cross multiply
    189.75x = 282.87 × 187.68
  4. Step 4: Simplify right side
    189.75x = 53,089.04
  5. Step 5: Solve for x
    x = 53,089.04/189.75
  6. Step 6: Final answer
    x = 279.78

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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.