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Finding the Fourth Proportional to 218.44, 301.38 and 174.76

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Solution

The fourth proportional to 218.44, 301.38 and 174.76 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.44 : 301.38 = 174.76 : x
  2. Step 2: Convert to fraction form
    218.44/301.38 = 174.76/x
  3. Step 3: Cross multiply
    218.44x = 301.38 × 174.76
  4. Step 4: Simplify right side
    218.44x = 52,669.17
  5. Step 5: Solve for x
    x = 52,669.17/218.44
  6. Step 6: Final answer
    x = 241.12

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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.