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Finding the Fourth Proportional to 113.69, 157.75 and 109.12

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Solution

The fourth proportional to 113.69, 157.75 and 109.12 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 157.75 = 109.12 : x
  2. Step 2: Convert to fraction form
    113.69/157.75 = 109.12/x
  3. Step 3: Cross multiply
    113.69x = 157.75 × 109.12
  4. Step 4: Simplify right side
    113.69x = 17,213.95
  5. Step 5: Solve for x
    x = 17,213.95/113.69
  6. Step 6: Final answer
    x = 151.41

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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.