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Finding the Fourth Proportional to 446.21, 668.40 and 263.05

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Solution

The fourth proportional to 446.21, 668.40 and 263.05 is: 394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.21 : 668.40 = 263.05 : x
  2. Step 2: Convert to fraction form
    446.21/668.40 = 263.05/x
  3. Step 3: Cross multiply
    446.21x = 668.40 × 263.05
  4. Step 4: Simplify right side
    446.21x = 175,822.62
  5. Step 5: Solve for x
    x = 175,822.62/446.21
  6. Step 6: Final answer
    x = 394.04

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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.