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Finding the Fourth Proportional to 221.48, 304.26 and 198.47

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Solution

The fourth proportional to 221.48, 304.26 and 198.47 is: 272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 304.26 = 198.47 : x
  2. Step 2: Convert to fraction form
    221.48/304.26 = 198.47/x
  3. Step 3: Cross multiply
    221.48x = 304.26 × 198.47
  4. Step 4: Simplify right side
    221.48x = 60,384.96
  5. Step 5: Solve for x
    x = 60,384.96/221.48
  6. Step 6: Final answer
    x = 272.65

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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.