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Finding the Fourth Proportional to 376.36, 516.89 and 341.80

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Solution

The fourth proportional to 376.36, 516.89 and 341.80 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.36 : 516.89 = 341.80 : x
  2. Step 2: Convert to fraction form
    376.36/516.89 = 341.80/x
  3. Step 3: Cross multiply
    376.36x = 516.89 × 341.80
  4. Step 4: Simplify right side
    376.36x = 176,673.00
  5. Step 5: Solve for x
    x = 176,673.00/376.36
  6. Step 6: Final answer
    x = 469.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.