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Finding the Fourth Proportional to 181.06, 251.19 and 174.58

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Solution

The fourth proportional to 181.06, 251.19 and 174.58 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 251.19 = 174.58 : x
  2. Step 2: Convert to fraction form
    181.06/251.19 = 174.58/x
  3. Step 3: Cross multiply
    181.06x = 251.19 × 174.58
  4. Step 4: Simplify right side
    181.06x = 43,852.75
  5. Step 5: Solve for x
    x = 43,852.75/181.06
  6. Step 6: Final answer
    x = 242.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.