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Finding the Fourth Proportional to 414.08, 619.90 and 306.35

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Solution

The fourth proportional to 414.08, 619.90 and 306.35 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 619.90 = 306.35 : x
  2. Step 2: Convert to fraction form
    414.08/619.90 = 306.35/x
  3. Step 3: Cross multiply
    414.08x = 619.90 × 306.35
  4. Step 4: Simplify right side
    414.08x = 189,902.50
  5. Step 5: Solve for x
    x = 189,902.50/414.08
  6. Step 6: Final answer
    x = 458.62

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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.