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Finding the Fourth Proportional to 218.82, 302.19 and 202.42

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Solution

The fourth proportional to 218.82, 302.19 and 202.42 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.82 : 302.19 = 202.42 : x
  2. Step 2: Convert to fraction form
    218.82/302.19 = 202.42/x
  3. Step 3: Cross multiply
    218.82x = 302.19 × 202.42
  4. Step 4: Simplify right side
    218.82x = 61,169.30
  5. Step 5: Solve for x
    x = 61,169.30/218.82
  6. Step 6: Final answer
    x = 279.54

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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.