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Finding the Fourth Proportional to 185.15, 255.28 and 160.21

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Solution

The fourth proportional to 185.15, 255.28 and 160.21 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.15 : 255.28 = 160.21 : x
  2. Step 2: Convert to fraction form
    185.15/255.28 = 160.21/x
  3. Step 3: Cross multiply
    185.15x = 255.28 × 160.21
  4. Step 4: Simplify right side
    185.15x = 40,897.37
  5. Step 5: Solve for x
    x = 40,897.37/185.15
  6. Step 6: Final answer
    x = 220.88

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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.