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Finding the Fourth Proportional to 414.06, 620.55 and 170.25

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Solution

The fourth proportional to 414.06, 620.55 and 170.25 is: 255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 620.55 = 170.25 : x
  2. Step 2: Convert to fraction form
    414.06/620.55 = 170.25/x
  3. Step 3: Cross multiply
    414.06x = 620.55 × 170.25
  4. Step 4: Simplify right side
    414.06x = 105,648.64
  5. Step 5: Solve for x
    x = 105,648.64/414.06
  6. Step 6: Final answer
    x = 255.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.