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Finding the Fourth Proportional to 376.90, 564.60 and 214.12

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Solution

The fourth proportional to 376.90, 564.60 and 214.12 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.90 : 564.60 = 214.12 : x
  2. Step 2: Convert to fraction form
    376.90/564.60 = 214.12/x
  3. Step 3: Cross multiply
    376.90x = 564.60 × 214.12
  4. Step 4: Simplify right side
    376.90x = 120,892.15
  5. Step 5: Solve for x
    x = 120,892.15/376.90
  6. Step 6: Final answer
    x = 320.75

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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.