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Finding the Fourth Proportional to 413.75, 570.98 and 229.75

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Solution

The fourth proportional to 413.75, 570.98 and 229.75 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 570.98 = 229.75 : x
  2. Step 2: Convert to fraction form
    413.75/570.98 = 229.75/x
  3. Step 3: Cross multiply
    413.75x = 570.98 × 229.75
  4. Step 4: Simplify right side
    413.75x = 131,182.66
  5. Step 5: Solve for x
    x = 131,182.66/413.75
  6. Step 6: Final answer
    x = 317.06

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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.