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Finding the Fourth Proportional to 249, 343.16 and 161.52

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Solution

The fourth proportional to 249, 343.16 and 161.52 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 343.16 = 161.52 : x
  2. Step 2: Convert to fraction form
    249/343.16 = 161.52/x
  3. Step 3: Cross multiply
    249x = 343.16 × 161.52
  4. Step 4: Simplify right side
    249x = 55,426.40
  5. Step 5: Solve for x
    x = 55,426.40/249
  6. Step 6: Final answer
    x = 222.60

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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.