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Finding the Fourth Proportional to 155.20, 214 and 120.17

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Solution

The fourth proportional to 155.20, 214 and 120.17 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 214 = 120.17 : x
  2. Step 2: Convert to fraction form
    155.20/214 = 120.17/x
  3. Step 3: Cross multiply
    155.20x = 214 × 120.17
  4. Step 4: Simplify right side
    155.20x = 25,716.38
  5. Step 5: Solve for x
    x = 25,716.38/155.20
  6. Step 6: Final answer
    x = 165.70

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1.5x scale

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.