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Finding the Fourth Proportional to 220.74, 302.45 and 217.85

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Solution

The fourth proportional to 220.74, 302.45 and 217.85 is: 298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 302.45 = 217.85 : x
  2. Step 2: Convert to fraction form
    220.74/302.45 = 217.85/x
  3. Step 3: Cross multiply
    220.74x = 302.45 × 217.85
  4. Step 4: Simplify right side
    220.74x = 65,888.73
  5. Step 5: Solve for x
    x = 65,888.73/220.74
  6. Step 6: Final answer
    x = 298.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.