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Finding the Fourth Proportional to 301.16, 414.72 and 218.12

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Solution

The fourth proportional to 301.16, 414.72 and 218.12 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 414.72 = 218.12 : x
  2. Step 2: Convert to fraction form
    301.16/414.72 = 218.12/x
  3. Step 3: Cross multiply
    301.16x = 414.72 × 218.12
  4. Step 4: Simplify right side
    301.16x = 90,458.73
  5. Step 5: Solve for x
    x = 90,458.73/301.16
  6. Step 6: Final answer
    x = 300.37

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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.