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Finding the Fourth Proportional to 187.92, 259.36 and 125.68

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Solution

The fourth proportional to 187.92, 259.36 and 125.68 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 259.36 = 125.68 : x
  2. Step 2: Convert to fraction form
    187.92/259.36 = 125.68/x
  3. Step 3: Cross multiply
    187.92x = 259.36 × 125.68
  4. Step 4: Simplify right side
    187.92x = 32,596.36
  5. Step 5: Solve for x
    x = 32,596.36/187.92
  6. Step 6: Final answer
    x = 173.46

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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.