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Finding the Fourth Proportional to 248.25, 342.62 and 144.75

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Solution

The fourth proportional to 248.25, 342.62 and 144.75 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.25 : 342.62 = 144.75 : x
  2. Step 2: Convert to fraction form
    248.25/342.62 = 144.75/x
  3. Step 3: Cross multiply
    248.25x = 342.62 × 144.75
  4. Step 4: Simplify right side
    248.25x = 49,594.25
  5. Step 5: Solve for x
    x = 49,594.25/248.25
  6. Step 6: Final answer
    x = 199.78

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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.