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Finding the Fourth Proportional to 377.80, 566.94 and 344.20

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Solution

The fourth proportional to 377.80, 566.94 and 344.20 is: 516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 566.94 = 344.20 : x
  2. Step 2: Convert to fraction form
    377.80/566.94 = 344.20/x
  3. Step 3: Cross multiply
    377.80x = 566.94 × 344.20
  4. Step 4: Simplify right side
    377.80x = 195,140.75
  5. Step 5: Solve for x
    x = 195,140.75/377.80
  6. Step 6: Final answer
    x = 516.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.