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Finding the Fourth Proportional to 218.05, 301.05 and 179.17

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Solution

The fourth proportional to 218.05, 301.05 and 179.17 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.05 : 301.05 = 179.17 : x
  2. Step 2: Convert to fraction form
    218.05/301.05 = 179.17/x
  3. Step 3: Cross multiply
    218.05x = 301.05 × 179.17
  4. Step 4: Simplify right side
    218.05x = 53,939.13
  5. Step 5: Solve for x
    x = 53,939.13/218.05
  6. Step 6: Final answer
    x = 247.37

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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.