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Finding the Fourth Proportional to 248.92, 343.30 and 186.90

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Solution

The fourth proportional to 248.92, 343.30 and 186.90 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.92 : 343.30 = 186.90 : x
  2. Step 2: Convert to fraction form
    248.92/343.30 = 186.90/x
  3. Step 3: Cross multiply
    248.92x = 343.30 × 186.90
  4. Step 4: Simplify right side
    248.92x = 64,162.77
  5. Step 5: Solve for x
    x = 64,162.77/248.92
  6. Step 6: Final answer
    x = 257.76

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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.