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Finding the Fourth Proportional to 188.45, 259.92 and 113.76

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Solution

The fourth proportional to 188.45, 259.92 and 113.76 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.45 : 259.92 = 113.76 : x
  2. Step 2: Convert to fraction form
    188.45/259.92 = 113.76/x
  3. Step 3: Cross multiply
    188.45x = 259.92 × 113.76
  4. Step 4: Simplify right side
    188.45x = 29,568.50
  5. Step 5: Solve for x
    x = 29,568.50/188.45
  6. Step 6: Final answer
    x = 156.90

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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.