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Finding the Fourth Proportional to 413.21, 569.94 and 282.39

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Solution

The fourth proportional to 413.21, 569.94 and 282.39 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 569.94 = 282.39 : x
  2. Step 2: Convert to fraction form
    413.21/569.94 = 282.39/x
  3. Step 3: Cross multiply
    413.21x = 569.94 × 282.39
  4. Step 4: Simplify right side
    413.21x = 160,945.36
  5. Step 5: Solve for x
    x = 160,945.36/413.21
  6. Step 6: Final answer
    x = 389.50

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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.