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Finding the Fourth Proportional to 413.62, 619.92 and 208.24

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Solution

The fourth proportional to 413.62, 619.92 and 208.24 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.62 : 619.92 = 208.24 : x
  2. Step 2: Convert to fraction form
    413.62/619.92 = 208.24/x
  3. Step 3: Cross multiply
    413.62x = 619.92 × 208.24
  4. Step 4: Simplify right side
    413.62x = 129,092.14
  5. Step 5: Solve for x
    x = 129,092.14/413.62
  6. Step 6: Final answer
    x = 312.10

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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.