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Finding the Fourth Proportional to 413.32, 619.95 and 139.39

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Solution

The fourth proportional to 413.32, 619.95 and 139.39 is: 209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 619.95 = 139.39 : x
  2. Step 2: Convert to fraction form
    413.32/619.95 = 139.39/x
  3. Step 3: Cross multiply
    413.32x = 619.95 × 139.39
  4. Step 4: Simplify right side
    413.32x = 86,414.83
  5. Step 5: Solve for x
    x = 86,414.83/413.32
  6. Step 6: Final answer
    x = 209.07

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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.