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Finding the Fourth Proportional to 247.72, 340.32 and 221.83

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Solution

The fourth proportional to 247.72, 340.32 and 221.83 is: 304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.72 : 340.32 = 221.83 : x
  2. Step 2: Convert to fraction form
    247.72/340.32 = 221.83/x
  3. Step 3: Cross multiply
    247.72x = 340.32 × 221.83
  4. Step 4: Simplify right side
    247.72x = 75,493.19
  5. Step 5: Solve for x
    x = 75,493.19/247.72
  6. Step 6: Final answer
    x = 304.75

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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.