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Finding the Fourth Proportional to 155.36, 232.16 and 111.83

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Solution

The fourth proportional to 155.36, 232.16 and 111.83 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.36 : 232.16 = 111.83 : x
  2. Step 2: Convert to fraction form
    155.36/232.16 = 111.83/x
  3. Step 3: Cross multiply
    155.36x = 232.16 × 111.83
  4. Step 4: Simplify right side
    155.36x = 25,960.73
  5. Step 5: Solve for x
    x = 25,960.73/155.36
  6. Step 6: Final answer
    x = 167.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.