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Finding the Fourth Proportional to 221.09, 329.86 and 210.77

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Solution

The fourth proportional to 221.09, 329.86 and 210.77 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 329.86 = 210.77 : x
  2. Step 2: Convert to fraction form
    221.09/329.86 = 210.77/x
  3. Step 3: Cross multiply
    221.09x = 329.86 × 210.77
  4. Step 4: Simplify right side
    221.09x = 69,524.59
  5. Step 5: Solve for x
    x = 69,524.59/221.09
  6. Step 6: Final answer
    x = 314.46

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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.