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Finding the Fourth Proportional to 189.82, 261.78 and 148.37

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Solution

The fourth proportional to 189.82, 261.78 and 148.37 is: 204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 261.78 = 148.37 : x
  2. Step 2: Convert to fraction form
    189.82/261.78 = 148.37/x
  3. Step 3: Cross multiply
    189.82x = 261.78 × 148.37
  4. Step 4: Simplify right side
    189.82x = 38,840.30
  5. Step 5: Solve for x
    x = 38,840.30/189.82
  6. Step 6: Final answer
    x = 204.62

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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.