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Finding the Fourth Proportional to 189.65, 261.41 and 137.20

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Solution

The fourth proportional to 189.65, 261.41 and 137.20 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.65 : 261.41 = 137.20 : x
  2. Step 2: Convert to fraction form
    189.65/261.41 = 137.20/x
  3. Step 3: Cross multiply
    189.65x = 261.41 × 137.20
  4. Step 4: Simplify right side
    189.65x = 35,866.14
  5. Step 5: Solve for x
    x = 35,866.14/189.65
  6. Step 6: Final answer
    x = 189.11

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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.