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Finding the Fourth Proportional to 218.49, 301.44 and 129.90

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Solution

The fourth proportional to 218.49, 301.44 and 129.90 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 301.44 = 129.90 : x
  2. Step 2: Convert to fraction form
    218.49/301.44 = 129.90/x
  3. Step 3: Cross multiply
    218.49x = 301.44 × 129.90
  4. Step 4: Simplify right side
    218.49x = 39,157.06
  5. Step 5: Solve for x
    x = 39,157.06/218.49
  6. Step 6: Final answer
    x = 179.22

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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.