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Finding the Fourth Proportional to 218.39, 301.69 and 189.23

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Solution

The fourth proportional to 218.39, 301.69 and 189.23 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.39 : 301.69 = 189.23 : x
  2. Step 2: Convert to fraction form
    218.39/301.69 = 189.23/x
  3. Step 3: Cross multiply
    218.39x = 301.69 × 189.23
  4. Step 4: Simplify right side
    218.39x = 57,088.80
  5. Step 5: Solve for x
    x = 57,088.80/218.39
  6. Step 6: Final answer
    x = 261.41

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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.