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Finding the Fourth Proportional to 248.61, 343.07 and 138.09

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Solution

The fourth proportional to 248.61, 343.07 and 138.09 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.61 : 343.07 = 138.09 : x
  2. Step 2: Convert to fraction form
    248.61/343.07 = 138.09/x
  3. Step 3: Cross multiply
    248.61x = 343.07 × 138.09
  4. Step 4: Simplify right side
    248.61x = 47,372.82
  5. Step 5: Solve for x
    x = 47,372.82/248.61
  6. Step 6: Final answer
    x = 190.55

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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.