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Finding the Fourth Proportional to 414.07, 620.95 and 170.47

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Solution

The fourth proportional to 414.07, 620.95 and 170.47 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 620.95 = 170.47 : x
  2. Step 2: Convert to fraction form
    414.07/620.95 = 170.47/x
  3. Step 3: Cross multiply
    414.07x = 620.95 × 170.47
  4. Step 4: Simplify right side
    414.07x = 105,853.35
  5. Step 5: Solve for x
    x = 105,853.35/414.07
  6. Step 6: Final answer
    x = 255.64

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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.