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Finding the Fourth Proportional to 181.04, 249.67 and 142.16

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Solution

The fourth proportional to 181.04, 249.67 and 142.16 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.04 : 249.67 = 142.16 : x
  2. Step 2: Convert to fraction form
    181.04/249.67 = 142.16/x
  3. Step 3: Cross multiply
    181.04x = 249.67 × 142.16
  4. Step 4: Simplify right side
    181.04x = 35,491.48
  5. Step 5: Solve for x
    x = 35,491.48/181.04
  6. Step 6: Final answer
    x = 196.05

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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.