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Finding the Fourth Proportional to 218.22, 300.87 and 177.18

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Solution

The fourth proportional to 218.22, 300.87 and 177.18 is: 244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 300.87 = 177.18 : x
  2. Step 2: Convert to fraction form
    218.22/300.87 = 177.18/x
  3. Step 3: Cross multiply
    218.22x = 300.87 × 177.18
  4. Step 4: Simplify right side
    218.22x = 53,308.15
  5. Step 5: Solve for x
    x = 53,308.15/218.22
  6. Step 6: Final answer
    x = 244.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.