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Finding the Fourth Proportional to 218.85, 301.56 and 203.79

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Solution

The fourth proportional to 218.85, 301.56 and 203.79 is: 280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.85 : 301.56 = 203.79 : x
  2. Step 2: Convert to fraction form
    218.85/301.56 = 203.79/x
  3. Step 3: Cross multiply
    218.85x = 301.56 × 203.79
  4. Step 4: Simplify right side
    218.85x = 61,455.28
  5. Step 5: Solve for x
    x = 61,455.28/218.85
  6. Step 6: Final answer
    x = 280.81

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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.