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Finding the Fourth Proportional to 404.00, 558.18 and 321.81

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Solution

The fourth proportional to 404.00, 558.18 and 321.81 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.00 : 558.18 = 321.81 : x
  2. Step 2: Convert to fraction form
    404.00/558.18 = 321.81/x
  3. Step 3: Cross multiply
    404.00x = 558.18 × 321.81
  4. Step 4: Simplify right side
    404.00x = 179,627.91
  5. Step 5: Solve for x
    x = 179,627.91/404.00
  6. Step 6: Final answer
    x = 444.63

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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.