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Finding the Fourth Proportional to 189.84, 261.71 and 140.09

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Solution

The fourth proportional to 189.84, 261.71 and 140.09 is: 193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 261.71 = 140.09 : x
  2. Step 2: Convert to fraction form
    189.84/261.71 = 140.09/x
  3. Step 3: Cross multiply
    189.84x = 261.71 × 140.09
  4. Step 4: Simplify right side
    189.84x = 36,662.95
  5. Step 5: Solve for x
    x = 36,662.95/189.84
  6. Step 6: Final answer
    x = 193.13

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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.