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Finding the Fourth Proportional to 445.99, 668.19 and 263.29

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Solution

The fourth proportional to 445.99, 668.19 and 263.29 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.99 : 668.19 = 263.29 : x
  2. Step 2: Convert to fraction form
    445.99/668.19 = 263.29/x
  3. Step 3: Cross multiply
    445.99x = 668.19 × 263.29
  4. Step 4: Simplify right side
    445.99x = 175,927.75
  5. Step 5: Solve for x
    x = 175,927.75/445.99
  6. Step 6: Final answer
    x = 394.47

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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.