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Finding the Fourth Proportional to 404.42, 606.81 and 212

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Solution

The fourth proportional to 404.42, 606.81 and 212 is: 318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 606.81 = 212 : x
  2. Step 2: Convert to fraction form
    404.42/606.81 = 212/x
  3. Step 3: Cross multiply
    404.42x = 606.81 × 212
  4. Step 4: Simplify right side
    404.42x = 128,643.72
  5. Step 5: Solve for x
    x = 128,643.72/404.42
  6. Step 6: Final answer
    x = 318.09

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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.