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Finding the Fourth Proportional to 131.10, 196.44 and 70.05

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Solution

The fourth proportional to 131.10, 196.44 and 70.05 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.10 : 196.44 = 70.05 : x
  2. Step 2: Convert to fraction form
    131.10/196.44 = 70.05/x
  3. Step 3: Cross multiply
    131.10x = 196.44 × 70.05
  4. Step 4: Simplify right side
    131.10x = 13,760.62
  5. Step 5: Solve for x
    x = 13,760.62/131.10
  6. Step 6: Final answer
    x = 104.96

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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.