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Finding the Fourth Proportional to 222.24, 331.52 and 188.22

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Solution

The fourth proportional to 222.24, 331.52 and 188.22 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 331.52 = 188.22 : x
  2. Step 2: Convert to fraction form
    222.24/331.52 = 188.22/x
  3. Step 3: Cross multiply
    222.24x = 331.52 × 188.22
  4. Step 4: Simplify right side
    222.24x = 62,397.75
  5. Step 5: Solve for x
    x = 62,397.75/222.24
  6. Step 6: Final answer
    x = 280.77

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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.