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Finding the Fourth Proportional to 297.72, 444 and 279.36

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Solution

The fourth proportional to 297.72, 444 and 279.36 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 444 = 279.36 : x
  2. Step 2: Convert to fraction form
    297.72/444 = 279.36/x
  3. Step 3: Cross multiply
    297.72x = 444 × 279.36
  4. Step 4: Simplify right side
    297.72x = 124,035.84
  5. Step 5: Solve for x
    x = 124,035.84/297.72
  6. Step 6: Final answer
    x = 416.62

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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.