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Finding the Fourth Proportional to 404.83, 604.12 and 361.15

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Solution

The fourth proportional to 404.83, 604.12 and 361.15 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.83 : 604.12 = 361.15 : x
  2. Step 2: Convert to fraction form
    404.83/604.12 = 361.15/x
  3. Step 3: Cross multiply
    404.83x = 604.12 × 361.15
  4. Step 4: Simplify right side
    404.83x = 218,177.94
  5. Step 5: Solve for x
    x = 218,177.94/404.83
  6. Step 6: Final answer
    x = 538.94

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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.