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Finding the Fourth Proportional to 189.34, 282.64 and 163.83

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Solution

The fourth proportional to 189.34, 282.64 and 163.83 is: 244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 282.64 = 163.83 : x
  2. Step 2: Convert to fraction form
    189.34/282.64 = 163.83/x
  3. Step 3: Cross multiply
    189.34x = 282.64 × 163.83
  4. Step 4: Simplify right side
    189.34x = 46,304.91
  5. Step 5: Solve for x
    x = 46,304.91/189.34
  6. Step 6: Final answer
    x = 244.56

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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.