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Finding the Fourth Proportional to 361.80, 477.90 and 361.80

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Solution

The fourth proportional to 361.80, 477.90 and 361.80 is: 477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 477.90 = 361.80 : x
  2. Step 2: Convert to fraction form
    361.80/477.90 = 361.80/x
  3. Step 3: Cross multiply
    361.80x = 477.90 × 361.80
  4. Step 4: Simplify right side
    361.80x = 172,904.22
  5. Step 5: Solve for x
    x = 172,904.22/361.80
  6. Step 6: Final answer
    x = 477.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.