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Finding the Fourth Proportional to 181.07, 247.71 and 180.29

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Solution

The fourth proportional to 181.07, 247.71 and 180.29 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.07 : 247.71 = 180.29 : x
  2. Step 2: Convert to fraction form
    181.07/247.71 = 180.29/x
  3. Step 3: Cross multiply
    181.07x = 247.71 × 180.29
  4. Step 4: Simplify right side
    181.07x = 44,659.92
  5. Step 5: Solve for x
    x = 44,659.92/181.07
  6. Step 6: Final answer
    x = 246.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.