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Finding the Fourth Proportional to 373.89, 516.09 and 218.67

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Solution

The fourth proportional to 373.89, 516.09 and 218.67 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.89 : 516.09 = 218.67 : x
  2. Step 2: Convert to fraction form
    373.89/516.09 = 218.67/x
  3. Step 3: Cross multiply
    373.89x = 516.09 × 218.67
  4. Step 4: Simplify right side
    373.89x = 112,853.40
  5. Step 5: Solve for x
    x = 112,853.40/373.89
  6. Step 6: Final answer
    x = 301.84

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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.