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Finding the Fourth Proportional to 297.33, 442.78 and 279.64

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Solution

The fourth proportional to 297.33, 442.78 and 279.64 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.33 : 442.78 = 279.64 : x
  2. Step 2: Convert to fraction form
    297.33/442.78 = 279.64/x
  3. Step 3: Cross multiply
    297.33x = 442.78 × 279.64
  4. Step 4: Simplify right side
    297.33x = 123,819.00
  5. Step 5: Solve for x
    x = 123,819.00/297.33
  6. Step 6: Final answer
    x = 416.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.