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Finding the Fourth Proportional to 404.20, 558.18 and 329.80

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Solution

The fourth proportional to 404.20, 558.18 and 329.80 is: 455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.20 : 558.18 = 329.80 : x
  2. Step 2: Convert to fraction form
    404.20/558.18 = 329.80/x
  3. Step 3: Cross multiply
    404.20x = 558.18 × 329.80
  4. Step 4: Simplify right side
    404.20x = 184,087.76
  5. Step 5: Solve for x
    x = 184,087.76/404.20
  6. Step 6: Final answer
    x = 455.44

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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.