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Finding the Fourth Proportional to 300.08, 447.65 and 277.13

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Solution

The fourth proportional to 300.08, 447.65 and 277.13 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.08 : 447.65 = 277.13 : x
  2. Step 2: Convert to fraction form
    300.08/447.65 = 277.13/x
  3. Step 3: Cross multiply
    300.08x = 447.65 × 277.13
  4. Step 4: Simplify right side
    300.08x = 124,053.62
  5. Step 5: Solve for x
    x = 124,053.62/300.08
  6. Step 6: Final answer
    x = 413.41

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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.