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Finding the Fourth Proportional to 342.87, 513.80 and 205.77

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Solution

The fourth proportional to 342.87, 513.80 and 205.77 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.87 : 513.80 = 205.77 : x
  2. Step 2: Convert to fraction form
    342.87/513.80 = 205.77/x
  3. Step 3: Cross multiply
    342.87x = 513.80 × 205.77
  4. Step 4: Simplify right side
    342.87x = 105,723.60
  5. Step 5: Solve for x
    x = 105,723.60/342.87
  6. Step 6: Final answer
    x = 308.35

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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.