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Finding the Fourth Proportional to 413.38, 618.49 and 361.64

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Solution

The fourth proportional to 413.38, 618.49 and 361.64 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.38 : 618.49 = 361.64 : x
  2. Step 2: Convert to fraction form
    413.38/618.49 = 361.64/x
  3. Step 3: Cross multiply
    413.38x = 618.49 × 361.64
  4. Step 4: Simplify right side
    413.38x = 223,670.72
  5. Step 5: Solve for x
    x = 223,670.72/413.38
  6. Step 6: Final answer
    x = 541.08

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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.