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Finding the Fourth Proportional to 220.63, 332.61 and 205.77

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Solution

The fourth proportional to 220.63, 332.61 and 205.77 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.63 : 332.61 = 205.77 : x
  2. Step 2: Convert to fraction form
    220.63/332.61 = 205.77/x
  3. Step 3: Cross multiply
    220.63x = 332.61 × 205.77
  4. Step 4: Simplify right side
    220.63x = 68,440.65
  5. Step 5: Solve for x
    x = 68,440.65/220.63
  6. Step 6: Final answer
    x = 310.20

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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.