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Finding the Fourth Proportional to 442.09, 609.90 and 284.68

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Solution

The fourth proportional to 442.09, 609.90 and 284.68 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 609.90 = 284.68 : x
  2. Step 2: Convert to fraction form
    442.09/609.90 = 284.68/x
  3. Step 3: Cross multiply
    442.09x = 609.90 × 284.68
  4. Step 4: Simplify right side
    442.09x = 173,626.33
  5. Step 5: Solve for x
    x = 173,626.33/442.09
  6. Step 6: Final answer
    x = 392.74

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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.