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Finding the Fourth Proportional to 221.80, 305.88 and 190.70

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Solution

The fourth proportional to 221.80, 305.88 and 190.70 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 305.88 = 190.70 : x
  2. Step 2: Convert to fraction form
    221.80/305.88 = 190.70/x
  3. Step 3: Cross multiply
    221.80x = 305.88 × 190.70
  4. Step 4: Simplify right side
    221.80x = 58,331.32
  5. Step 5: Solve for x
    x = 58,331.32/221.80
  6. Step 6: Final answer
    x = 262.99

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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.