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Finding the Fourth Proportional to 404.78, 558.62 and 306.38

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Solution

The fourth proportional to 404.78, 558.62 and 306.38 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 558.62 = 306.38 : x
  2. Step 2: Convert to fraction form
    404.78/558.62 = 306.38/x
  3. Step 3: Cross multiply
    404.78x = 558.62 × 306.38
  4. Step 4: Simplify right side
    404.78x = 171,150.00
  5. Step 5: Solve for x
    x = 171,150.00/404.78
  6. Step 6: Final answer
    x = 422.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.