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Finding the Fourth Proportional to 131.84, 197.60 and 115.84

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Solution

The fourth proportional to 131.84, 197.60 and 115.84 is: 173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 197.60 = 115.84 : x
  2. Step 2: Convert to fraction form
    131.84/197.60 = 115.84/x
  3. Step 3: Cross multiply
    131.84x = 197.60 × 115.84
  4. Step 4: Simplify right side
    131.84x = 22,889.98
  5. Step 5: Solve for x
    x = 22,889.98/131.84
  6. Step 6: Final answer
    x = 173.62

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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.