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Finding the Fourth Proportional to 248.44, 343.02 and 155.22

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Solution

The fourth proportional to 248.44, 343.02 and 155.22 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.44 : 343.02 = 155.22 : x
  2. Step 2: Convert to fraction form
    248.44/343.02 = 155.22/x
  3. Step 3: Cross multiply
    248.44x = 343.02 × 155.22
  4. Step 4: Simplify right side
    248.44x = 53,243.56
  5. Step 5: Solve for x
    x = 53,243.56/248.44
  6. Step 6: Final answer
    x = 214.31

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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.