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Finding the Fourth Proportional to 442.11, 609.79 and 389.61

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Solution

The fourth proportional to 442.11, 609.79 and 389.61 is: 537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.11 : 609.79 = 389.61 : x
  2. Step 2: Convert to fraction form
    442.11/609.79 = 389.61/x
  3. Step 3: Cross multiply
    442.11x = 609.79 × 389.61
  4. Step 4: Simplify right side
    442.11x = 237,580.28
  5. Step 5: Solve for x
    x = 237,580.28/442.11
  6. Step 6: Final answer
    x = 537.38

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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.