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Finding the Fourth Proportional to 187.88, 283.11 and 169.61

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Solution

The fourth proportional to 187.88, 283.11 and 169.61 is: 255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 283.11 = 169.61 : x
  2. Step 2: Convert to fraction form
    187.88/283.11 = 169.61/x
  3. Step 3: Cross multiply
    187.88x = 283.11 × 169.61
  4. Step 4: Simplify right side
    187.88x = 48,017.44
  5. Step 5: Solve for x
    x = 48,017.44/187.88
  6. Step 6: Final answer
    x = 255.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.