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Finding the Fourth Proportional to 413.42, 620.24 and 139.52

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Solution

The fourth proportional to 413.42, 620.24 and 139.52 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 620.24 = 139.52 : x
  2. Step 2: Convert to fraction form
    413.42/620.24 = 139.52/x
  3. Step 3: Cross multiply
    413.42x = 620.24 × 139.52
  4. Step 4: Simplify right side
    413.42x = 86,535.88
  5. Step 5: Solve for x
    x = 86,535.88/413.42
  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.