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Finding the Fourth Proportional to 275.14, 412.26 and 214.12

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Solution

The fourth proportional to 275.14, 412.26 and 214.12 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.14 : 412.26 = 214.12 : x
  2. Step 2: Convert to fraction form
    275.14/412.26 = 214.12/x
  3. Step 3: Cross multiply
    275.14x = 412.26 × 214.12
  4. Step 4: Simplify right side
    275.14x = 88,273.11
  5. Step 5: Solve for x
    x = 88,273.11/275.14
  6. Step 6: Final answer
    x = 320.83

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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.