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Finding the Fourth Proportional to 376.40, 564.21 and 213.74

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Solution

The fourth proportional to 376.40, 564.21 and 213.74 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 564.21 = 213.74 : x
  2. Step 2: Convert to fraction form
    376.40/564.21 = 213.74/x
  3. Step 3: Cross multiply
    376.40x = 564.21 × 213.74
  4. Step 4: Simplify right side
    376.40x = 120,591.42
  5. Step 5: Solve for x
    x = 120,591.42/376.40
  6. Step 6: Final answer
    x = 320.39

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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.