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Finding the Fourth Proportional to 155.06, 214 and 96.86

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Solution

The fourth proportional to 155.06, 214 and 96.86 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 214 = 96.86 : x
  2. Step 2: Convert to fraction form
    155.06/214 = 96.86/x
  3. Step 3: Cross multiply
    155.06x = 214 × 96.86
  4. Step 4: Simplify right side
    155.06x = 20,728.04
  5. Step 5: Solve for x
    x = 20,728.04/155.06
  6. Step 6: Final answer
    x = 133.68

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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.