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Finding the Fourth Proportional to 413.27, 570.25 and 255.95

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Solution

The fourth proportional to 413.27, 570.25 and 255.95 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 570.25 = 255.95 : x
  2. Step 2: Convert to fraction form
    413.27/570.25 = 255.95/x
  3. Step 3: Cross multiply
    413.27x = 570.25 × 255.95
  4. Step 4: Simplify right side
    413.27x = 145,952.00
  5. Step 5: Solve for x
    x = 145,952.00/413.27
  6. Step 6: Final answer
    x = 353.16

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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.