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Finding the Fourth Proportional to 222.14, 332.82 and 106.43

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Solution

The fourth proportional to 222.14, 332.82 and 106.43 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.14 : 332.82 = 106.43 : x
  2. Step 2: Convert to fraction form
    222.14/332.82 = 106.43/x
  3. Step 3: Cross multiply
    222.14x = 332.82 × 106.43
  4. Step 4: Simplify right side
    222.14x = 35,420.37
  5. Step 5: Solve for x
    x = 35,420.37/222.14
  6. Step 6: Final answer
    x = 159.45

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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.