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Finding the Fourth Proportional to 221.63, 334.12 and 206.77

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Solution

The fourth proportional to 221.63, 334.12 and 206.77 is: 311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 334.12 = 206.77 : x
  2. Step 2: Convert to fraction form
    221.63/334.12 = 206.77/x
  3. Step 3: Cross multiply
    221.63x = 334.12 × 206.77
  4. Step 4: Simplify right side
    221.63x = 69,085.99
  5. Step 5: Solve for x
    x = 69,085.99/221.63
  6. Step 6: Final answer
    x = 311.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.