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Finding the Fourth Proportional to 155.56, 234.16 and 137.92

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Solution

The fourth proportional to 155.56, 234.16 and 137.92 is: 207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 234.16 = 137.92 : x
  2. Step 2: Convert to fraction form
    155.56/234.16 = 137.92/x
  3. Step 3: Cross multiply
    155.56x = 234.16 × 137.92
  4. Step 4: Simplify right side
    155.56x = 32,295.35
  5. Step 5: Solve for x
    x = 32,295.35/155.56
  6. Step 6: Final answer
    x = 207.61

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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.