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Finding the Fourth Proportional to 189.67, 261.13 and 131.35

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Solution

The fourth proportional to 189.67, 261.13 and 131.35 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.67 : 261.13 = 131.35 : x
  2. Step 2: Convert to fraction form
    189.67/261.13 = 131.35/x
  3. Step 3: Cross multiply
    189.67x = 261.13 × 131.35
  4. Step 4: Simplify right side
    189.67x = 34,299.43
  5. Step 5: Solve for x
    x = 34,299.43/189.67
  6. Step 6: Final answer
    x = 180.84

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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.