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Finding the Fourth Proportional to 220.26, 305.34 and 208.55

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Solution

The fourth proportional to 220.26, 305.34 and 208.55 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.26 : 305.34 = 208.55 : x
  2. Step 2: Convert to fraction form
    220.26/305.34 = 208.55/x
  3. Step 3: Cross multiply
    220.26x = 305.34 × 208.55
  4. Step 4: Simplify right side
    220.26x = 63,678.95
  5. Step 5: Solve for x
    x = 63,678.95/220.26
  6. Step 6: Final answer
    x = 289.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.