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Finding the Fourth Proportional to 374.10, 516.09 and 234.18

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Solution

The fourth proportional to 374.10, 516.09 and 234.18 is: 323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.10 : 516.09 = 234.18 : x
  2. Step 2: Convert to fraction form
    374.10/516.09 = 234.18/x
  3. Step 3: Cross multiply
    374.10x = 516.09 × 234.18
  4. Step 4: Simplify right side
    374.10x = 120,857.96
  5. Step 5: Solve for x
    x = 120,857.96/374.10
  6. Step 6: Final answer
    x = 323.06

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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.