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Finding the Fourth Proportional to 189.12, 259.59 and 166.92

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Solution

The fourth proportional to 189.12, 259.59 and 166.92 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 259.59 = 166.92 : x
  2. Step 2: Convert to fraction form
    189.12/259.59 = 166.92/x
  3. Step 3: Cross multiply
    189.12x = 259.59 × 166.92
  4. Step 4: Simplify right side
    189.12x = 43,330.76
  5. Step 5: Solve for x
    x = 43,330.76/189.12
  6. Step 6: Final answer
    x = 229.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.