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Finding the Fourth Proportional to 189.49, 262.02 and 150.61

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Solution

The fourth proportional to 189.49, 262.02 and 150.61 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.49 : 262.02 = 150.61 : x
  2. Step 2: Convert to fraction form
    189.49/262.02 = 150.61/x
  3. Step 3: Cross multiply
    189.49x = 262.02 × 150.61
  4. Step 4: Simplify right side
    189.49x = 39,462.83
  5. Step 5: Solve for x
    x = 39,462.83/189.49
  6. Step 6: Final answer
    x = 208.26

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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.