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Finding the Fourth Proportional to 185.16, 255.32 and 151.92

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Solution

The fourth proportional to 185.16, 255.32 and 151.92 is: 209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 255.32 = 151.92 : x
  2. Step 2: Convert to fraction form
    185.16/255.32 = 151.92/x
  3. Step 3: Cross multiply
    185.16x = 255.32 × 151.92
  4. Step 4: Simplify right side
    185.16x = 38,788.21
  5. Step 5: Solve for x
    x = 38,788.21/185.16
  6. Step 6: Final answer
    x = 209.48

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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.