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Finding the Fourth Proportional to 221.16, 302.97 and 218.60

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Solution

The fourth proportional to 221.16, 302.97 and 218.60 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 302.97 = 218.60 : x
  2. Step 2: Convert to fraction form
    221.16/302.97 = 218.60/x
  3. Step 3: Cross multiply
    221.16x = 302.97 × 218.60
  4. Step 4: Simplify right side
    221.16x = 66,229.24
  5. Step 5: Solve for x
    x = 66,229.24/221.16
  6. Step 6: Final answer
    x = 299.46

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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.