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Finding the Fourth Proportional to 221.80, 330.96 and 185.80

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Solution

The fourth proportional to 221.80, 330.96 and 185.80 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 330.96 = 185.80 : x
  2. Step 2: Convert to fraction form
    221.80/330.96 = 185.80/x
  3. Step 3: Cross multiply
    221.80x = 330.96 × 185.80
  4. Step 4: Simplify right side
    221.80x = 61,492.37
  5. Step 5: Solve for x
    x = 61,492.37/221.80
  6. Step 6: Final answer
    x = 277.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.