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Finding the Fourth Proportional to 374.09, 516.24 and 234.16

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Solution

The fourth proportional to 374.09, 516.24 and 234.16 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 516.24 = 234.16 : x
  2. Step 2: Convert to fraction form
    374.09/516.24 = 234.16/x
  3. Step 3: Cross multiply
    374.09x = 516.24 × 234.16
  4. Step 4: Simplify right side
    374.09x = 120,881.47
  5. Step 5: Solve for x
    x = 120,881.47/374.09
  6. Step 6: Final answer
    x = 323.14

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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.