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Finding the Fourth Proportional to 413.17, 622.21 and 359.71

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Solution

The fourth proportional to 413.17, 622.21 and 359.71 is: 541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 622.21 = 359.71 : x
  2. Step 2: Convert to fraction form
    413.17/622.21 = 359.71/x
  3. Step 3: Cross multiply
    413.17x = 622.21 × 359.71
  4. Step 4: Simplify right side
    413.17x = 223,815.16
  5. Step 5: Solve for x
    x = 223,815.16/413.17
  6. Step 6: Final answer
    x = 541.70

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Why These Related Problems?

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