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Finding the Fourth Proportional to 189.22, 261.10 and 122.83

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Solution

The fourth proportional to 189.22, 261.10 and 122.83 is: 169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 261.10 = 122.83 : x
  2. Step 2: Convert to fraction form
    189.22/261.10 = 122.83/x
  3. Step 3: Cross multiply
    189.22x = 261.10 × 122.83
  4. Step 4: Simplify right side
    189.22x = 32,070.91
  5. Step 5: Solve for x
    x = 32,070.91/189.22
  6. Step 6: Final answer
    x = 169.49

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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.