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Finding the Fourth Proportional to 404.09, 606.35 and 306.56

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Solution

The fourth proportional to 404.09, 606.35 and 306.56 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 606.35 = 306.56 : x
  2. Step 2: Convert to fraction form
    404.09/606.35 = 306.56/x
  3. Step 3: Cross multiply
    404.09x = 606.35 × 306.56
  4. Step 4: Simplify right side
    404.09x = 185,882.66
  5. Step 5: Solve for x
    x = 185,882.66/404.09
  6. Step 6: Final answer
    x = 460.00

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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.