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Finding the Fourth Proportional to 404.76, 609.85 and 366.29

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Solution

The fourth proportional to 404.76, 609.85 and 366.29 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 609.85 = 366.29 : x
  2. Step 2: Convert to fraction form
    404.76/609.85 = 366.29/x
  3. Step 3: Cross multiply
    404.76x = 609.85 × 366.29
  4. Step 4: Simplify right side
    404.76x = 223,377.99
  5. Step 5: Solve for x
    x = 223,377.99/404.76
  6. Step 6: Final answer
    x = 551.88

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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.