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Finding the Fourth Proportional to 181.38, 250.32 and 107.71

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Solution

The fourth proportional to 181.38, 250.32 and 107.71 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 250.32 = 107.71 : x
  2. Step 2: Convert to fraction form
    181.38/250.32 = 107.71/x
  3. Step 3: Cross multiply
    181.38x = 250.32 × 107.71
  4. Step 4: Simplify right side
    181.38x = 26,962.28
  5. Step 5: Solve for x
    x = 26,962.28/181.38
  6. Step 6: Final answer
    x = 148.65

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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.