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Finding the Fourth Proportional to 189.19, 259.19 and 181.90

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Solution

The fourth proportional to 189.19, 259.19 and 181.90 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 259.19 = 181.90 : x
  2. Step 2: Convert to fraction form
    189.19/259.19 = 181.90/x
  3. Step 3: Cross multiply
    189.19x = 259.19 × 181.90
  4. Step 4: Simplify right side
    189.19x = 47,145.37
  5. Step 5: Solve for x
    x = 47,145.37/189.19
  6. Step 6: Final answer
    x = 249.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.