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Finding the Fourth Proportional to 221.63, 332.24 and 134.96

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Solution

The fourth proportional to 221.63, 332.24 and 134.96 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 332.24 = 134.96 : x
  2. Step 2: Convert to fraction form
    221.63/332.24 = 134.96/x
  3. Step 3: Cross multiply
    221.63x = 332.24 × 134.96
  4. Step 4: Simplify right side
    221.63x = 44,836.77
  5. Step 5: Solve for x
    x = 44,836.77/221.63
  6. Step 6: Final answer
    x = 202.31

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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.