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Finding the Fourth Proportional to 189.13, 261.00 and 106.23

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Solution

The fourth proportional to 189.13, 261.00 and 106.23 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.13 : 261.00 = 106.23 : x
  2. Step 2: Convert to fraction form
    189.13/261.00 = 106.23/x
  3. Step 3: Cross multiply
    189.13x = 261.00 × 106.23
  4. Step 4: Simplify right side
    189.13x = 27,725.24
  5. Step 5: Solve for x
    x = 27,725.24/189.13
  6. Step 6: Final answer
    x = 146.60

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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.