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Finding the Fourth Proportional to 113.70, 157.64 and 108.22

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Solution

The fourth proportional to 113.70, 157.64 and 108.22 is: 150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.70 : 157.64 = 108.22 : x
  2. Step 2: Convert to fraction form
    113.70/157.64 = 108.22/x
  3. Step 3: Cross multiply
    113.70x = 157.64 × 108.22
  4. Step 4: Simplify right side
    113.70x = 17,059.80
  5. Step 5: Solve for x
    x = 17,059.80/113.70
  6. Step 6: Final answer
    x = 150.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.