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Finding the Fourth Proportional to 189.25, 260.36 and 181.15

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Solution

The fourth proportional to 189.25, 260.36 and 181.15 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.25 : 260.36 = 181.15 : x
  2. Step 2: Convert to fraction form
    189.25/260.36 = 181.15/x
  3. Step 3: Cross multiply
    189.25x = 260.36 × 181.15
  4. Step 4: Simplify right side
    189.25x = 47,163.31
  5. Step 5: Solve for x
    x = 47,163.31/189.25
  6. Step 6: Final answer
    x = 249.21

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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.