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Finding the Fourth Proportional to 248.93, 343.50 and 144

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Solution

The fourth proportional to 248.93, 343.50 and 144 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.93 : 343.50 = 144 : x
  2. Step 2: Convert to fraction form
    248.93/343.50 = 144/x
  3. Step 3: Cross multiply
    248.93x = 343.50 × 144
  4. Step 4: Simplify right side
    248.93x = 49,464
  5. Step 5: Solve for x
    x = 49,464/248.93
  6. Step 6: Final answer
    x = 198.71

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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.