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Finding the Fourth Proportional to 155.38, 234.12 and 128.92

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Solution

The fourth proportional to 155.38, 234.12 and 128.92 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 234.12 = 128.92 : x
  2. Step 2: Convert to fraction form
    155.38/234.12 = 128.92/x
  3. Step 3: Cross multiply
    155.38x = 234.12 × 128.92
  4. Step 4: Simplify right side
    155.38x = 30,183.07
  5. Step 5: Solve for x
    x = 30,183.07/155.38
  6. Step 6: Final answer
    x = 194.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.