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Finding the Fourth Proportional to 413.67, 620.50 and 139.76

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Solution

The fourth proportional to 413.67, 620.50 and 139.76 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 620.50 = 139.76 : x
  2. Step 2: Convert to fraction form
    413.67/620.50 = 139.76/x
  3. Step 3: Cross multiply
    413.67x = 620.50 × 139.76
  4. Step 4: Simplify right side
    413.67x = 86,721.08
  5. Step 5: Solve for x
    x = 86,721.08/413.67
  6. Step 6: Final answer
    x = 209.64

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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.