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Finding the Fourth Proportional to 414.66, 620.72 and 260.05

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Solution

The fourth proportional to 414.66, 620.72 and 260.05 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 620.72 = 260.05 : x
  2. Step 2: Convert to fraction form
    414.66/620.72 = 260.05/x
  3. Step 3: Cross multiply
    414.66x = 620.72 × 260.05
  4. Step 4: Simplify right side
    414.66x = 161,413.83
  5. Step 5: Solve for x
    x = 161,413.83/414.66
  6. Step 6: Final answer
    x = 389.27

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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.