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Finding the Fourth Proportional to 222.27, 333.10 and 188.10

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Solution

The fourth proportional to 222.27, 333.10 and 188.10 is: 281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.27 : 333.10 = 188.10 : x
  2. Step 2: Convert to fraction form
    222.27/333.10 = 188.10/x
  3. Step 3: Cross multiply
    222.27x = 333.10 × 188.10
  4. Step 4: Simplify right side
    222.27x = 62,655.64
  5. Step 5: Solve for x
    x = 62,655.64/222.27
  6. Step 6: Final answer
    x = 281.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.