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Finding the Fourth Proportional to 300.20, 448.48 and 208.12

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Solution

The fourth proportional to 300.20, 448.48 and 208.12 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 448.48 = 208.12 : x
  2. Step 2: Convert to fraction form
    300.20/448.48 = 208.12/x
  3. Step 3: Cross multiply
    300.20x = 448.48 × 208.12
  4. Step 4: Simplify right side
    300.20x = 93,337.66
  5. Step 5: Solve for x
    x = 93,337.66/300.20
  6. Step 6: Final answer
    x = 310.92

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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.