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Finding the Fourth Proportional to 221.16, 305.99 and 190.02

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Solution

The fourth proportional to 221.16, 305.99 and 190.02 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 305.99 = 190.02 : x
  2. Step 2: Convert to fraction form
    221.16/305.99 = 190.02/x
  3. Step 3: Cross multiply
    221.16x = 305.99 × 190.02
  4. Step 4: Simplify right side
    221.16x = 58,144.22
  5. Step 5: Solve for x
    x = 58,144.22/221.16
  6. Step 6: Final answer
    x = 262.91

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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.