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Finding the Fourth Proportional to 113.97, 156.25 and 111.91

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Solution

The fourth proportional to 113.97, 156.25 and 111.91 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 156.25 = 111.91 : x
  2. Step 2: Convert to fraction form
    113.97/156.25 = 111.91/x
  3. Step 3: Cross multiply
    113.97x = 156.25 × 111.91
  4. Step 4: Simplify right side
    113.97x = 17,485.94
  5. Step 5: Solve for x
    x = 17,485.94/113.97
  6. Step 6: Final answer
    x = 153.43

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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.