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Finding the Fourth Proportional to 247.58, 340.85 and 205.19

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Solution

The fourth proportional to 247.58, 340.85 and 205.19 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.58 : 340.85 = 205.19 : x
  2. Step 2: Convert to fraction form
    247.58/340.85 = 205.19/x
  3. Step 3: Cross multiply
    247.58x = 340.85 × 205.19
  4. Step 4: Simplify right side
    247.58x = 69,937.99
  5. Step 5: Solve for x
    x = 69,937.99/247.58
  6. Step 6: Final answer
    x = 282.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.