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Finding the Fourth Proportional to 181.13, 249.87 and 156.19

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Solution

The fourth proportional to 181.13, 249.87 and 156.19 is: 215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 249.87 = 156.19 : x
  2. Step 2: Convert to fraction form
    181.13/249.87 = 156.19/x
  3. Step 3: Cross multiply
    181.13x = 249.87 × 156.19
  4. Step 4: Simplify right side
    181.13x = 39,027.20
  5. Step 5: Solve for x
    x = 39,027.20/181.13
  6. Step 6: Final answer
    x = 215.47

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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.