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Finding the Fourth Proportional to 404.68, 606.84 and 361.84

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Solution

The fourth proportional to 404.68, 606.84 and 361.84 is: 542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.68 : 606.84 = 361.84 : x
  2. Step 2: Convert to fraction form
    404.68/606.84 = 361.84/x
  3. Step 3: Cross multiply
    404.68x = 606.84 × 361.84
  4. Step 4: Simplify right side
    404.68x = 219,578.99
  5. Step 5: Solve for x
    x = 219,578.99/404.68
  6. Step 6: Final answer
    x = 542.60

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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.