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Finding the Fourth Proportional to 247.41, 340.61 and 181.80

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Solution

The fourth proportional to 247.41, 340.61 and 181.80 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.41 : 340.61 = 181.80 : x
  2. Step 2: Convert to fraction form
    247.41/340.61 = 181.80/x
  3. Step 3: Cross multiply
    247.41x = 340.61 × 181.80
  4. Step 4: Simplify right side
    247.41x = 61,921.99
  5. Step 5: Solve for x
    x = 61,921.99/247.41
  6. Step 6: Final answer
    x = 250.28

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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.