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Finding the Fourth Proportional to 220.93, 329.53 and 208.24

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Solution

The fourth proportional to 220.93, 329.53 and 208.24 is: 310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 329.53 = 208.24 : x
  2. Step 2: Convert to fraction form
    220.93/329.53 = 208.24/x
  3. Step 3: Cross multiply
    220.93x = 329.53 × 208.24
  4. Step 4: Simplify right side
    220.93x = 68,621.33
  5. Step 5: Solve for x
    x = 68,621.33/220.93
  6. Step 6: Final answer
    x = 310.60

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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.