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Finding the Fourth Proportional to 113.72, 155.91 and 111.66

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Solution

The fourth proportional to 113.72, 155.91 and 111.66 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.72 : 155.91 = 111.66 : x
  2. Step 2: Convert to fraction form
    113.72/155.91 = 111.66/x
  3. Step 3: Cross multiply
    113.72x = 155.91 × 111.66
  4. Step 4: Simplify right side
    113.72x = 17,408.91
  5. Step 5: Solve for x
    x = 17,408.91/113.72
  6. Step 6: Final answer
    x = 153.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.