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Finding the Fourth Proportional to 155.56, 214.20 and 111.82

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Solution

The fourth proportional to 155.56, 214.20 and 111.82 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 214.20 = 111.82 : x
  2. Step 2: Convert to fraction form
    155.56/214.20 = 111.82/x
  3. Step 3: Cross multiply
    155.56x = 214.20 × 111.82
  4. Step 4: Simplify right side
    155.56x = 23,951.84
  5. Step 5: Solve for x
    x = 23,951.84/155.56
  6. Step 6: Final answer
    x = 153.97

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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.