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Finding the Fourth Proportional to 221.37, 302.78 and 218.13

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Solution

The fourth proportional to 221.37, 302.78 and 218.13 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.37 : 302.78 = 218.13 : x
  2. Step 2: Convert to fraction form
    221.37/302.78 = 218.13/x
  3. Step 3: Cross multiply
    221.37x = 302.78 × 218.13
  4. Step 4: Simplify right side
    221.37x = 66,044.31
  5. Step 5: Solve for x
    x = 66,044.31/221.37
  6. Step 6: Final answer
    x = 298.34

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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.