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Finding the Fourth Proportional to 248.77, 343.29 and 138.24

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Solution

The fourth proportional to 248.77, 343.29 and 138.24 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.77 : 343.29 = 138.24 : x
  2. Step 2: Convert to fraction form
    248.77/343.29 = 138.24/x
  3. Step 3: Cross multiply
    248.77x = 343.29 × 138.24
  4. Step 4: Simplify right side
    248.77x = 47,456.80
  5. Step 5: Solve for x
    x = 47,456.80/248.77
  6. Step 6: Final answer
    x = 190.77

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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.