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Finding the Fourth Proportional to 445.14, 668.43 and 275.22

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Solution

The fourth proportional to 445.14, 668.43 and 275.22 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.14 : 668.43 = 275.22 : x
  2. Step 2: Convert to fraction form
    445.14/668.43 = 275.22/x
  3. Step 3: Cross multiply
    445.14x = 668.43 × 275.22
  4. Step 4: Simplify right side
    445.14x = 183,965.30
  5. Step 5: Solve for x
    x = 183,965.30/445.14
  6. Step 6: Final answer
    x = 413.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.