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Finding the Fourth Proportional to 149.16, 205.50 and 111.65

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Solution

The fourth proportional to 149.16, 205.50 and 111.65 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.50 = 111.65 : x
  2. Step 2: Convert to fraction form
    149.16/205.50 = 111.65/x
  3. Step 3: Cross multiply
    149.16x = 205.50 × 111.65
  4. Step 4: Simplify right side
    149.16x = 22,944.59
  5. Step 5: Solve for x
    x = 22,944.59/149.16
  6. Step 6: Final answer
    x = 153.83

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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.