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Finding the Fourth Proportional to 275.46, 412.25 and 206.82

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Solution

The fourth proportional to 275.46, 412.25 and 206.82 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 412.25 = 206.82 : x
  2. Step 2: Convert to fraction form
    275.46/412.25 = 206.82/x
  3. Step 3: Cross multiply
    275.46x = 412.25 × 206.82
  4. Step 4: Simplify right side
    275.46x = 85,260.51
  5. Step 5: Solve for x
    x = 85,260.51/275.46
  6. Step 6: Final answer
    x = 309.52

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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.