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Finding the Fourth Proportional to 413.22, 570.02 and 280.44

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Solution

The fourth proportional to 413.22, 570.02 and 280.44 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 570.02 = 280.44 : x
  2. Step 2: Convert to fraction form
    413.22/570.02 = 280.44/x
  3. Step 3: Cross multiply
    413.22x = 570.02 × 280.44
  4. Step 4: Simplify right side
    413.22x = 159,856.41
  5. Step 5: Solve for x
    x = 159,856.41/413.22
  6. Step 6: Final answer
    x = 386.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.