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Finding the Fourth Proportional to 413.28, 569.28 and 364.32

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Solution

The fourth proportional to 413.28, 569.28 and 364.32 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 569.28 = 364.32 : x
  2. Step 2: Convert to fraction form
    413.28/569.28 = 364.32/x
  3. Step 3: Cross multiply
    413.28x = 569.28 × 364.32
  4. Step 4: Simplify right side
    413.28x = 207,400.09
  5. Step 5: Solve for x
    x = 207,400.09/413.28
  6. Step 6: Final answer
    x = 501.84

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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.