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Finding the Fourth Proportional to 300.68, 448.38 and 297.94

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Solution

The fourth proportional to 300.68, 448.38 and 297.94 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 448.38 = 297.94 : x
  2. Step 2: Convert to fraction form
    300.68/448.38 = 297.94/x
  3. Step 3: Cross multiply
    300.68x = 448.38 × 297.94
  4. Step 4: Simplify right side
    300.68x = 133,590.34
  5. Step 5: Solve for x
    x = 133,590.34/300.68
  6. Step 6: Final answer
    x = 444.29

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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.