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Finding the Fourth Proportional to 189.54, 261.56 and 105.52

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Solution

The fourth proportional to 189.54, 261.56 and 105.52 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 261.56 = 105.52 : x
  2. Step 2: Convert to fraction form
    189.54/261.56 = 105.52/x
  3. Step 3: Cross multiply
    189.54x = 261.56 × 105.52
  4. Step 4: Simplify right side
    189.54x = 27,599.81
  5. Step 5: Solve for x
    x = 27,599.81/189.54
  6. Step 6: Final answer
    x = 145.61

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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.