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Finding the Fourth Proportional to 376.29, 564.71 and 214.29

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Solution

The fourth proportional to 376.29, 564.71 and 214.29 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 564.71 = 214.29 : x
  2. Step 2: Convert to fraction form
    376.29/564.71 = 214.29/x
  3. Step 3: Cross multiply
    376.29x = 564.71 × 214.29
  4. Step 4: Simplify right side
    376.29x = 121,010.63
  5. Step 5: Solve for x
    x = 121,010.63/376.29
  6. Step 6: Final answer
    x = 321.59

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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.