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Finding the Fourth Proportional to 189.96, 282.86 and 183.04

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Solution

The fourth proportional to 189.96, 282.86 and 183.04 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 282.86 = 183.04 : x
  2. Step 2: Convert to fraction form
    189.96/282.86 = 183.04/x
  3. Step 3: Cross multiply
    189.96x = 282.86 × 183.04
  4. Step 4: Simplify right side
    189.96x = 51,774.69
  5. Step 5: Solve for x
    x = 51,774.69/189.96
  6. Step 6: Final answer
    x = 272.56

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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.