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Finding the Fourth Proportional to 187.74, 259.11 and 125.55

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Solution

The fourth proportional to 187.74, 259.11 and 125.55 is: 173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 259.11 = 125.55 : x
  2. Step 2: Convert to fraction form
    187.74/259.11 = 125.55/x
  3. Step 3: Cross multiply
    187.74x = 259.11 × 125.55
  4. Step 4: Simplify right side
    187.74x = 32,531.26
  5. Step 5: Solve for x
    x = 32,531.26/187.74
  6. Step 6: Final answer
    x = 173.28

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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.