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Finding the Fourth Proportional to 404.16, 606.16 and 144.20

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Solution

The fourth proportional to 404.16, 606.16 and 144.20 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 606.16 = 144.20 : x
  2. Step 2: Convert to fraction form
    404.16/606.16 = 144.20/x
  3. Step 3: Cross multiply
    404.16x = 606.16 × 144.20
  4. Step 4: Simplify right side
    404.16x = 87,408.27
  5. Step 5: Solve for x
    x = 87,408.27/404.16
  6. Step 6: Final answer
    x = 216.27

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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.