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Finding the Fourth Proportional to 189.45, 283.73 and 131.51

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Solution

The fourth proportional to 189.45, 283.73 and 131.51 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.45 : 283.73 = 131.51 : x
  2. Step 2: Convert to fraction form
    189.45/283.73 = 131.51/x
  3. Step 3: Cross multiply
    189.45x = 283.73 × 131.51
  4. Step 4: Simplify right side
    189.45x = 37,313.38
  5. Step 5: Solve for x
    x = 37,313.38/189.45
  6. Step 6: Final answer
    x = 196.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.