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Finding the Fourth Proportional to 247.42, 340.81 and 208.04

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Solution

The fourth proportional to 247.42, 340.81 and 208.04 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 340.81 = 208.04 : x
  2. Step 2: Convert to fraction form
    247.42/340.81 = 208.04/x
  3. Step 3: Cross multiply
    247.42x = 340.81 × 208.04
  4. Step 4: Simplify right side
    247.42x = 70,899.89
  5. Step 5: Solve for x
    x = 70,899.89/247.42
  6. Step 6: Final answer
    x = 286.56

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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.