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Finding the Fourth Proportional to 221.09, 304.71 and 195.63

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Solution

The fourth proportional to 221.09, 304.71 and 195.63 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 304.71 = 195.63 : x
  2. Step 2: Convert to fraction form
    221.09/304.71 = 195.63/x
  3. Step 3: Cross multiply
    221.09x = 304.71 × 195.63
  4. Step 4: Simplify right side
    221.09x = 59,610.42
  5. Step 5: Solve for x
    x = 59,610.42/221.09
  6. Step 6: Final answer
    x = 269.62

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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.