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Finding the Fourth Proportional to 189.31, 284.08 and 131.68

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Solution

The fourth proportional to 189.31, 284.08 and 131.68 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.31 : 284.08 = 131.68 : x
  2. Step 2: Convert to fraction form
    189.31/284.08 = 131.68/x
  3. Step 3: Cross multiply
    189.31x = 284.08 × 131.68
  4. Step 4: Simplify right side
    189.31x = 37,406.70
  5. Step 5: Solve for x
    x = 37,406.70/189.31
  6. Step 6: Final answer
    x = 197.59

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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.