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Finding the Fourth Proportional to 414.13, 620.77 and 197.89

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Solution

The fourth proportional to 414.13, 620.77 and 197.89 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 620.77 = 197.89 : x
  2. Step 2: Convert to fraction form
    414.13/620.77 = 197.89/x
  3. Step 3: Cross multiply
    414.13x = 620.77 × 197.89
  4. Step 4: Simplify right side
    414.13x = 122,844.18
  5. Step 5: Solve for x
    x = 122,844.18/414.13
  6. Step 6: Final answer
    x = 296.63

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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.