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Finding the Fourth Proportional to 376.10, 564.40 and 344.83

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Solution

The fourth proportional to 376.10, 564.40 and 344.83 is: 517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.10 : 564.40 = 344.83 : x
  2. Step 2: Convert to fraction form
    376.10/564.40 = 344.83/x
  3. Step 3: Cross multiply
    376.10x = 564.40 × 344.83
  4. Step 4: Simplify right side
    376.10x = 194,619.78
  5. Step 5: Solve for x
    x = 194,619.78/376.10
  6. Step 6: Final answer
    x = 517.48

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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.