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Finding the Fourth Proportional to 218.52, 301.82 and 189.77

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Solution

The fourth proportional to 218.52, 301.82 and 189.77 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 301.82 = 189.77 : x
  2. Step 2: Convert to fraction form
    218.52/301.82 = 189.77/x
  3. Step 3: Cross multiply
    218.52x = 301.82 × 189.77
  4. Step 4: Simplify right side
    218.52x = 57,276.38
  5. Step 5: Solve for x
    x = 57,276.38/218.52
  6. Step 6: Final answer
    x = 262.11

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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.