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Finding the Fourth Proportional to 413.25, 569.84 and 288.87

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Solution

The fourth proportional to 413.25, 569.84 and 288.87 is: 398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 569.84 = 288.87 : x
  2. Step 2: Convert to fraction form
    413.25/569.84 = 288.87/x
  3. Step 3: Cross multiply
    413.25x = 569.84 × 288.87
  4. Step 4: Simplify right side
    413.25x = 164,606.10
  5. Step 5: Solve for x
    x = 164,606.10/413.25
  6. Step 6: Final answer
    x = 398.32

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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.