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Finding the Fourth Proportional to 248.77, 343.26 and 160.27

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Solution

The fourth proportional to 248.77, 343.26 and 160.27 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.77 : 343.26 = 160.27 : x
  2. Step 2: Convert to fraction form
    248.77/343.26 = 160.27/x
  3. Step 3: Cross multiply
    248.77x = 343.26 × 160.27
  4. Step 4: Simplify right side
    248.77x = 55,012.38
  5. Step 5: Solve for x
    x = 55,012.38/248.77
  6. Step 6: Final answer
    x = 221.14

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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.