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Finding the Fourth Proportional to 342.58, 513.99 and 205.72

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Solution

The fourth proportional to 342.58, 513.99 and 205.72 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 513.99 = 205.72 : x
  2. Step 2: Convert to fraction form
    342.58/513.99 = 205.72/x
  3. Step 3: Cross multiply
    342.58x = 513.99 × 205.72
  4. Step 4: Simplify right side
    342.58x = 105,738.02
  5. Step 5: Solve for x
    x = 105,738.02/342.58
  6. Step 6: Final answer
    x = 308.65

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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.