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Finding the Fourth Proportional to 181.74, 251.10 and 161.04

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Solution

The fourth proportional to 181.74, 251.10 and 161.04 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 251.10 = 161.04 : x
  2. Step 2: Convert to fraction form
    181.74/251.10 = 161.04/x
  3. Step 3: Cross multiply
    181.74x = 251.10 × 161.04
  4. Step 4: Simplify right side
    181.74x = 40,437.14
  5. Step 5: Solve for x
    x = 40,437.14/181.74
  6. Step 6: Final answer
    x = 222.50

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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.