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Finding the Fourth Proportional to 413.84, 621.16 and 197.58

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Solution

The fourth proportional to 413.84, 621.16 and 197.58 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 621.16 = 197.58 : x
  2. Step 2: Convert to fraction form
    413.84/621.16 = 197.58/x
  3. Step 3: Cross multiply
    413.84x = 621.16 × 197.58
  4. Step 4: Simplify right side
    413.84x = 122,728.79
  5. Step 5: Solve for x
    x = 122,728.79/413.84
  6. Step 6: Final answer
    x = 296.56

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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.