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Finding the Fourth Proportional to 221.69, 330.19 and 210.12

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Solution

The fourth proportional to 221.69, 330.19 and 210.12 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.69 : 330.19 = 210.12 : x
  2. Step 2: Convert to fraction form
    221.69/330.19 = 210.12/x
  3. Step 3: Cross multiply
    221.69x = 330.19 × 210.12
  4. Step 4: Simplify right side
    221.69x = 69,380.35
  5. Step 5: Solve for x
    x = 69,380.35/221.69
  6. Step 6: Final answer
    x = 312.96

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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.