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Finding the Fourth Proportional to 189.37, 261.92 and 150.42

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Solution

The fourth proportional to 189.37, 261.92 and 150.42 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 261.92 = 150.42 : x
  2. Step 2: Convert to fraction form
    189.37/261.92 = 150.42/x
  3. Step 3: Cross multiply
    189.37x = 261.92 × 150.42
  4. Step 4: Simplify right side
    189.37x = 39,398.01
  5. Step 5: Solve for x
    x = 39,398.01/189.37
  6. Step 6: Final answer
    x = 208.05

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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.