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Finding the Fourth Proportional to 181.09, 251.37 and 176.77

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Solution

The fourth proportional to 181.09, 251.37 and 176.77 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.09 : 251.37 = 176.77 : x
  2. Step 2: Convert to fraction form
    181.09/251.37 = 176.77/x
  3. Step 3: Cross multiply
    181.09x = 251.37 × 176.77
  4. Step 4: Simplify right side
    181.09x = 44,432.53
  5. Step 5: Solve for x
    x = 44,432.53/181.09
  6. Step 6: Final answer
    x = 245.37

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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.