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Finding the Fourth Proportional to 248.44, 342.71 and 209.28

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Solution

The fourth proportional to 248.44, 342.71 and 209.28 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.44 : 342.71 = 209.28 : x
  2. Step 2: Convert to fraction form
    248.44/342.71 = 209.28/x
  3. Step 3: Cross multiply
    248.44x = 342.71 × 209.28
  4. Step 4: Simplify right side
    248.44x = 71,722.78
  5. Step 5: Solve for x
    x = 71,722.78/248.44
  6. Step 6: Final answer
    x = 288.69

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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.