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Finding the Fourth Proportional to 374.13, 516.17 and 216.72

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Solution

The fourth proportional to 374.13, 516.17 and 216.72 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 516.17 = 216.72 : x
  2. Step 2: Convert to fraction form
    374.13/516.17 = 216.72/x
  3. Step 3: Cross multiply
    374.13x = 516.17 × 216.72
  4. Step 4: Simplify right side
    374.13x = 111,864.90
  5. Step 5: Solve for x
    x = 111,864.90/374.13
  6. Step 6: Final answer
    x = 299.00

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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.