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Finding the Fourth Proportional to 299.79, 413.88 and 201.69

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Solution

The fourth proportional to 299.79, 413.88 and 201.69 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 413.88 = 201.69 : x
  2. Step 2: Convert to fraction form
    299.79/413.88 = 201.69/x
  3. Step 3: Cross multiply
    299.79x = 413.88 × 201.69
  4. Step 4: Simplify right side
    299.79x = 83,475.46
  5. Step 5: Solve for x
    x = 83,475.46/299.79
  6. Step 6: Final answer
    x = 278.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.