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Finding the Fourth Proportional to 442.21, 609.88 and 284.87

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Solution

The fourth proportional to 442.21, 609.88 and 284.87 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 609.88 = 284.87 : x
  2. Step 2: Convert to fraction form
    442.21/609.88 = 284.87/x
  3. Step 3: Cross multiply
    442.21x = 609.88 × 284.87
  4. Step 4: Simplify right side
    442.21x = 173,736.52
  5. Step 5: Solve for x
    x = 173,736.52/442.21
  6. Step 6: Final answer
    x = 392.88

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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.