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Finding the Fourth Proportional to 413.64, 617.40 and 361.80

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Solution

The fourth proportional to 413.64, 617.40 and 361.80 is: 540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 617.40 = 361.80 : x
  2. Step 2: Convert to fraction form
    413.64/617.40 = 361.80/x
  3. Step 3: Cross multiply
    413.64x = 617.40 × 361.80
  4. Step 4: Simplify right side
    413.64x = 223,375.32
  5. Step 5: Solve for x
    x = 223,375.32/413.64
  6. Step 6: Final answer
    x = 540.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.