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Finding the Fourth Proportional to 413.26, 617.45 and 308.74

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Solution

The fourth proportional to 413.26, 617.45 and 308.74 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 617.45 = 308.74 : x
  2. Step 2: Convert to fraction form
    413.26/617.45 = 308.74/x
  3. Step 3: Cross multiply
    413.26x = 617.45 × 308.74
  4. Step 4: Simplify right side
    413.26x = 190,631.51
  5. Step 5: Solve for x
    x = 190,631.51/413.26
  6. Step 6: Final answer
    x = 461.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.