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Finding the Fourth Proportional to 113.27, 156.35 and 109.85

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Solution

The fourth proportional to 113.27, 156.35 and 109.85 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 156.35 = 109.85 : x
  2. Step 2: Convert to fraction form
    113.27/156.35 = 109.85/x
  3. Step 3: Cross multiply
    113.27x = 156.35 × 109.85
  4. Step 4: Simplify right side
    113.27x = 17,175.05
  5. Step 5: Solve for x
    x = 17,175.05/113.27
  6. Step 6: Final answer
    x = 151.63

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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.