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Finding the Fourth Proportional to 248.50, 343.11 and 183.10

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Solution

The fourth proportional to 248.50, 343.11 and 183.10 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 343.11 = 183.10 : x
  2. Step 2: Convert to fraction form
    248.50/343.11 = 183.10/x
  3. Step 3: Cross multiply
    248.50x = 343.11 × 183.10
  4. Step 4: Simplify right side
    248.50x = 62,823.44
  5. Step 5: Solve for x
    x = 62,823.44/248.50
  6. Step 6: Final answer
    x = 252.81

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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.