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Finding the Fourth Proportional to 221.55, 304.62 and 195.35

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Solution

The fourth proportional to 221.55, 304.62 and 195.35 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.55 : 304.62 = 195.35 : x
  2. Step 2: Convert to fraction form
    221.55/304.62 = 195.35/x
  3. Step 3: Cross multiply
    221.55x = 304.62 × 195.35
  4. Step 4: Simplify right side
    221.55x = 59,505.99
  5. Step 5: Solve for x
    x = 59,505.99/221.55
  6. Step 6: Final answer
    x = 268.59

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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.