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Finding the Fourth Proportional to 189.75, 262.04 and 137.91

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Solution

The fourth proportional to 189.75, 262.04 and 137.91 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 262.04 = 137.91 : x
  2. Step 2: Convert to fraction form
    189.75/262.04 = 137.91/x
  3. Step 3: Cross multiply
    189.75x = 262.04 × 137.91
  4. Step 4: Simplify right side
    189.75x = 36,137.25
  5. Step 5: Solve for x
    x = 36,137.25/189.75
  6. Step 6: Final answer
    x = 190.45

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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.