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Finding the Fourth Proportional to 221.88, 331.53 and 194.16

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Solution

The fourth proportional to 221.88, 331.53 and 194.16 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.88 : 331.53 = 194.16 : x
  2. Step 2: Convert to fraction form
    221.88/331.53 = 194.16/x
  3. Step 3: Cross multiply
    221.88x = 331.53 × 194.16
  4. Step 4: Simplify right side
    221.88x = 64,369.86
  5. Step 5: Solve for x
    x = 64,369.86/221.88
  6. Step 6: Final answer
    x = 290.11

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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.