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Finding the Fourth Proportional to 187.98, 281.77 and 105.59

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Solution

The fourth proportional to 187.98, 281.77 and 105.59 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 281.77 = 105.59 : x
  2. Step 2: Convert to fraction form
    187.98/281.77 = 105.59/x
  3. Step 3: Cross multiply
    187.98x = 281.77 × 105.59
  4. Step 4: Simplify right side
    187.98x = 29,752.04
  5. Step 5: Solve for x
    x = 29,752.04/187.98
  6. Step 6: Final answer
    x = 158.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.