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Finding the Fourth Proportional to 189.76, 261.86 and 112.16

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Solution

The fourth proportional to 189.76, 261.86 and 112.16 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 261.86 = 112.16 : x
  2. Step 2: Convert to fraction form
    189.76/261.86 = 112.16/x
  3. Step 3: Cross multiply
    189.76x = 261.86 × 112.16
  4. Step 4: Simplify right side
    189.76x = 29,370.22
  5. Step 5: Solve for x
    x = 29,370.22/189.76
  6. Step 6: Final answer
    x = 154.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.