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Finding the Fourth Proportional to 297.36, 448.11 and 279.12

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Solution

The fourth proportional to 297.36, 448.11 and 279.12 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 448.11 = 279.12 : x
  2. Step 2: Convert to fraction form
    297.36/448.11 = 279.12/x
  3. Step 3: Cross multiply
    297.36x = 448.11 × 279.12
  4. Step 4: Simplify right side
    297.36x = 125,076.46
  5. Step 5: Solve for x
    x = 125,076.46/297.36
  6. Step 6: Final answer
    x = 420.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.