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Finding the Fourth Proportional to 181.19, 271.22 and 111.60

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Solution

The fourth proportional to 181.19, 271.22 and 111.60 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.19 : 271.22 = 111.60 : x
  2. Step 2: Convert to fraction form
    181.19/271.22 = 111.60/x
  3. Step 3: Cross multiply
    181.19x = 271.22 × 111.60
  4. Step 4: Simplify right side
    181.19x = 30,267.59
  5. Step 5: Solve for x
    x = 30,267.59/181.19
  6. Step 6: Final answer
    x = 167.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.