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Finding the Fourth Proportional to 189.00, 260.82 and 106.12

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Solution

The fourth proportional to 189.00, 260.82 and 106.12 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.00 : 260.82 = 106.12 : x
  2. Step 2: Convert to fraction form
    189.00/260.82 = 106.12/x
  3. Step 3: Cross multiply
    189.00x = 260.82 × 106.12
  4. Step 4: Simplify right side
    189.00x = 27,677.57
  5. Step 5: Solve for x
    x = 27,677.57/189.00
  6. Step 6: Final answer
    x = 146.44

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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.