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Finding the Fourth Proportional to 248.50, 343.34 and 234.83

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Solution

The fourth proportional to 248.50, 343.34 and 234.83 is: 324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 343.34 = 234.83 : x
  2. Step 2: Convert to fraction form
    248.50/343.34 = 234.83/x
  3. Step 3: Cross multiply
    248.50x = 343.34 × 234.83
  4. Step 4: Simplify right side
    248.50x = 80,627.10
  5. Step 5: Solve for x
    x = 80,627.10/248.50
  6. Step 6: Final answer
    x = 324.45

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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.