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Finding the Fourth Proportional to 413.67, 570.78 and 247.80

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Solution

The fourth proportional to 413.67, 570.78 and 247.80 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 570.78 = 247.80 : x
  2. Step 2: Convert to fraction form
    413.67/570.78 = 247.80/x
  3. Step 3: Cross multiply
    413.67x = 570.78 × 247.80
  4. Step 4: Simplify right side
    413.67x = 141,439.28
  5. Step 5: Solve for x
    x = 141,439.28/413.67
  6. Step 6: Final answer
    x = 341.91

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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.