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Finding the Fourth Proportional to 404.68, 609.34 and 297.22

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Solution

The fourth proportional to 404.68, 609.34 and 297.22 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.68 : 609.34 = 297.22 : x
  2. Step 2: Convert to fraction form
    404.68/609.34 = 297.22/x
  3. Step 3: Cross multiply
    404.68x = 609.34 × 297.22
  4. Step 4: Simplify right side
    404.68x = 181,108.03
  5. Step 5: Solve for x
    x = 181,108.03/404.68
  6. Step 6: Final answer
    x = 447.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.