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Finding the Fourth Proportional to 181.89, 251.02 and 142.60

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Solution

The fourth proportional to 181.89, 251.02 and 142.60 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.89 : 251.02 = 142.60 : x
  2. Step 2: Convert to fraction form
    181.89/251.02 = 142.60/x
  3. Step 3: Cross multiply
    181.89x = 251.02 × 142.60
  4. Step 4: Simplify right side
    181.89x = 35,795.45
  5. Step 5: Solve for x
    x = 35,795.45/181.89
  6. Step 6: Final answer
    x = 196.80

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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.