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Finding the Fourth Proportional to 413.72, 619.90 and 197.16

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Solution

The fourth proportional to 413.72, 619.90 and 197.16 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 619.90 = 197.16 : x
  2. Step 2: Convert to fraction form
    413.72/619.90 = 197.16/x
  3. Step 3: Cross multiply
    413.72x = 619.90 × 197.16
  4. Step 4: Simplify right side
    413.72x = 122,219.48
  5. Step 5: Solve for x
    x = 122,219.48/413.72
  6. Step 6: Final answer
    x = 295.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.