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Finding the Fourth Proportional to 113.80, 155.99 and 111.04

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Solution

The fourth proportional to 113.80, 155.99 and 111.04 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 155.99 = 111.04 : x
  2. Step 2: Convert to fraction form
    113.80/155.99 = 111.04/x
  3. Step 3: Cross multiply
    113.80x = 155.99 × 111.04
  4. Step 4: Simplify right side
    113.80x = 17,321.13
  5. Step 5: Solve for x
    x = 17,321.13/113.80
  6. Step 6: Final answer
    x = 152.21

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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.