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Finding the Fourth Proportional to 342.62, 512.62 and 208.55

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Solution

The fourth proportional to 342.62, 512.62 and 208.55 is: 312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.62 : 512.62 = 208.55 : x
  2. Step 2: Convert to fraction form
    342.62/512.62 = 208.55/x
  3. Step 3: Cross multiply
    342.62x = 512.62 × 208.55
  4. Step 4: Simplify right side
    342.62x = 106,906.90
  5. Step 5: Solve for x
    x = 106,906.90/342.62
  6. Step 6: Final answer
    x = 312.03

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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.