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Finding the Fourth Proportional to 189.40, 260.94 and 131.08

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Solution

The fourth proportional to 189.40, 260.94 and 131.08 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 260.94 = 131.08 : x
  2. Step 2: Convert to fraction form
    189.40/260.94 = 131.08/x
  3. Step 3: Cross multiply
    189.40x = 260.94 × 131.08
  4. Step 4: Simplify right side
    189.40x = 34,204.02
  5. Step 5: Solve for x
    x = 34,204.02/189.40
  6. Step 6: Final answer
    x = 180.59

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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.