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Finding the Fourth Proportional to 221.61, 306.39 and 184.75

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Solution

The fourth proportional to 221.61, 306.39 and 184.75 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.61 : 306.39 = 184.75 : x
  2. Step 2: Convert to fraction form
    221.61/306.39 = 184.75/x
  3. Step 3: Cross multiply
    221.61x = 306.39 × 184.75
  4. Step 4: Simplify right side
    221.61x = 56,605.55
  5. Step 5: Solve for x
    x = 56,605.55/221.61
  6. Step 6: Final answer
    x = 255.43

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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.