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Finding the Fourth Proportional to 342.97, 514.67 and 206.05

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Solution

The fourth proportional to 342.97, 514.67 and 206.05 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.97 : 514.67 = 206.05 : x
  2. Step 2: Convert to fraction form
    342.97/514.67 = 206.05/x
  3. Step 3: Cross multiply
    342.97x = 514.67 × 206.05
  4. Step 4: Simplify right side
    342.97x = 106,046.72
  5. Step 5: Solve for x
    x = 106,046.72/342.97
  6. Step 6: Final answer
    x = 309.20

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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.