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Finding the Fourth Proportional to 442.21, 609.96 and 285.04

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Solution

The fourth proportional to 442.21, 609.96 and 285.04 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 609.96 = 285.04 : x
  2. Step 2: Convert to fraction form
    442.21/609.96 = 285.04/x
  3. Step 3: Cross multiply
    442.21x = 609.96 × 285.04
  4. Step 4: Simplify right side
    442.21x = 173,863.00
  5. Step 5: Solve for x
    x = 173,863.00/442.21
  6. Step 6: Final answer
    x = 393.17

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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.