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Finding the Fourth Proportional to 413.93, 571.25 and 236.88

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Solution

The fourth proportional to 413.93, 571.25 and 236.88 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 571.25 = 236.88 : x
  2. Step 2: Convert to fraction form
    413.93/571.25 = 236.88/x
  3. Step 3: Cross multiply
    413.93x = 571.25 × 236.88
  4. Step 4: Simplify right side
    413.93x = 135,318.29
  5. Step 5: Solve for x
    x = 135,318.29/413.93
  6. Step 6: Final answer
    x = 326.91

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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.