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Finding the Fourth Proportional to 404.02, 606.19 and 144.05

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Solution

The fourth proportional to 404.02, 606.19 and 144.05 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 606.19 = 144.05 : x
  2. Step 2: Convert to fraction form
    404.02/606.19 = 144.05/x
  3. Step 3: Cross multiply
    404.02x = 606.19 × 144.05
  4. Step 4: Simplify right side
    404.02x = 87,321.67
  5. Step 5: Solve for x
    x = 87,321.67/404.02
  6. Step 6: Final answer
    x = 216.13

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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.