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Finding the Fourth Proportional to 373.98, 516.12 and 216.66

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Solution

The fourth proportional to 373.98, 516.12 and 216.66 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.98 : 516.12 = 216.66 : x
  2. Step 2: Convert to fraction form
    373.98/516.12 = 216.66/x
  3. Step 3: Cross multiply
    373.98x = 516.12 × 216.66
  4. Step 4: Simplify right side
    373.98x = 111,822.56
  5. Step 5: Solve for x
    x = 111,822.56/373.98
  6. Step 6: Final answer
    x = 299.01

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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.