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Finding the Fourth Proportional to 248.80, 342.60 and 205.06

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Solution

The fourth proportional to 248.80, 342.60 and 205.06 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.80 : 342.60 = 205.06 : x
  2. Step 2: Convert to fraction form
    248.80/342.60 = 205.06/x
  3. Step 3: Cross multiply
    248.80x = 342.60 × 205.06
  4. Step 4: Simplify right side
    248.80x = 70,253.56
  5. Step 5: Solve for x
    x = 70,253.56/248.80
  6. Step 6: Final answer
    x = 282.37

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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.