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Finding the Fourth Proportional to 413.32, 622.27 and 342.28

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Solution

The fourth proportional to 413.32, 622.27 and 342.28 is: 515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 622.27 = 342.28 : x
  2. Step 2: Convert to fraction form
    413.32/622.27 = 342.28/x
  3. Step 3: Cross multiply
    413.32x = 622.27 × 342.28
  4. Step 4: Simplify right side
    413.32x = 212,990.58
  5. Step 5: Solve for x
    x = 212,990.58/413.32
  6. Step 6: Final answer
    x = 515.32

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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.