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Finding the Fourth Proportional to 222.28, 332.84 and 100.31

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Solution

The fourth proportional to 222.28, 332.84 and 100.31 is: 150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 332.84 = 100.31 : x
  2. Step 2: Convert to fraction form
    222.28/332.84 = 100.31/x
  3. Step 3: Cross multiply
    222.28x = 332.84 × 100.31
  4. Step 4: Simplify right side
    222.28x = 33,385.77
  5. Step 5: Solve for x
    x = 33,385.77/222.28
  6. Step 6: Final answer
    x = 150.20

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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.