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Finding the Fourth Proportional to 413.67, 622.97 and 360.21

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Solution

The fourth proportional to 413.67, 622.97 and 360.21 is: 542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 622.97 = 360.21 : x
  2. Step 2: Convert to fraction form
    413.67/622.97 = 360.21/x
  3. Step 3: Cross multiply
    413.67x = 622.97 × 360.21
  4. Step 4: Simplify right side
    413.67x = 224,398.22
  5. Step 5: Solve for x
    x = 224,398.22/413.67
  6. Step 6: Final answer
    x = 542.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.