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Finding the Fourth Proportional to 300.82, 448.03 and 297.06

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Solution

The fourth proportional to 300.82, 448.03 and 297.06 is: 442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.82 : 448.03 = 297.06 : x
  2. Step 2: Convert to fraction form
    300.82/448.03 = 297.06/x
  3. Step 3: Cross multiply
    300.82x = 448.03 × 297.06
  4. Step 4: Simplify right side
    300.82x = 133,090.31
  5. Step 5: Solve for x
    x = 133,090.31/300.82
  6. Step 6: Final answer
    x = 442.43

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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.