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Finding the Fourth Proportional to 252.54, 377.28 and 160.50

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Solution

The fourth proportional to 252.54, 377.28 and 160.50 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 377.28 = 160.50 : x
  2. Step 2: Convert to fraction form
    252.54/377.28 = 160.50/x
  3. Step 3: Cross multiply
    252.54x = 377.28 × 160.50
  4. Step 4: Simplify right side
    252.54x = 60,553.44
  5. Step 5: Solve for x
    x = 60,553.44/252.54
  6. Step 6: Final answer
    x = 239.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.