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Finding the Fourth Proportional to 413.47, 620.27 and 139.53

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Solution

The fourth proportional to 413.47, 620.27 and 139.53 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 620.27 = 139.53 : x
  2. Step 2: Convert to fraction form
    413.47/620.27 = 139.53/x
  3. Step 3: Cross multiply
    413.47x = 620.27 × 139.53
  4. Step 4: Simplify right side
    413.47x = 86,546.27
  5. Step 5: Solve for x
    x = 86,546.27/413.47
  6. Step 6: Final answer
    x = 209.32

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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.