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Finding the Fourth Proportional to 374.06, 516.09 and 218.78

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Solution

The fourth proportional to 374.06, 516.09 and 218.78 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.06 : 516.09 = 218.78 : x
  2. Step 2: Convert to fraction form
    374.06/516.09 = 218.78/x
  3. Step 3: Cross multiply
    374.06x = 516.09 × 218.78
  4. Step 4: Simplify right side
    374.06x = 112,910.17
  5. Step 5: Solve for x
    x = 112,910.17/374.06
  6. Step 6: Final answer
    x = 301.85

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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.