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Finding the Fourth Proportional to 181.46, 250.37 and 107.78

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Solution

The fourth proportional to 181.46, 250.37 and 107.78 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 250.37 = 107.78 : x
  2. Step 2: Convert to fraction form
    181.46/250.37 = 107.78/x
  3. Step 3: Cross multiply
    181.46x = 250.37 × 107.78
  4. Step 4: Simplify right side
    181.46x = 26,983.09
  5. Step 5: Solve for x
    x = 26,983.09/181.46
  6. Step 6: Final answer
    x = 148.70

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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.