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Finding the Fourth Proportional to 413.91, 620.96 and 208.40

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Solution

The fourth proportional to 413.91, 620.96 and 208.40 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 620.96 = 208.40 : x
  2. Step 2: Convert to fraction form
    413.91/620.96 = 208.40/x
  3. Step 3: Cross multiply
    413.91x = 620.96 × 208.40
  4. Step 4: Simplify right side
    413.91x = 129,403.92
  5. Step 5: Solve for x
    x = 129,403.92/413.91
  6. Step 6: Final answer
    x = 312.64

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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.