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Finding the Fourth Proportional to 413.72, 620.51 and 208.24

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Solution

The fourth proportional to 413.72, 620.51 and 208.24 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 620.51 = 208.24 : x
  2. Step 2: Convert to fraction form
    413.72/620.51 = 208.24/x
  3. Step 3: Cross multiply
    413.72x = 620.51 × 208.24
  4. Step 4: Simplify right side
    413.72x = 129,214.74
  5. Step 5: Solve for x
    x = 129,214.74/413.72
  6. Step 6: Final answer
    x = 312.32

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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.