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Finding the Fourth Proportional to 413.13, 569.19 and 288.57

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Solution

The fourth proportional to 413.13, 569.19 and 288.57 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 569.19 = 288.57 : x
  2. Step 2: Convert to fraction form
    413.13/569.19 = 288.57/x
  3. Step 3: Cross multiply
    413.13x = 569.19 × 288.57
  4. Step 4: Simplify right side
    413.13x = 164,251.16
  5. Step 5: Solve for x
    x = 164,251.16/413.13
  6. Step 6: Final answer
    x = 397.58

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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.