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Finding the Fourth Proportional to 444.80, 613.21 and 361.77

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Solution

The fourth proportional to 444.80, 613.21 and 361.77 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.80 : 613.21 = 361.77 : x
  2. Step 2: Convert to fraction form
    444.80/613.21 = 361.77/x
  3. Step 3: Cross multiply
    444.80x = 613.21 × 361.77
  4. Step 4: Simplify right side
    444.80x = 221,840.98
  5. Step 5: Solve for x
    x = 221,840.98/444.80
  6. Step 6: Final answer
    x = 498.74

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Why These Related Problems?

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