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Finding the Fourth Proportional to 446.16, 664.38 and 441.30

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Solution

The fourth proportional to 446.16, 664.38 and 441.30 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 664.38 = 441.30 : x
  2. Step 2: Convert to fraction form
    446.16/664.38 = 441.30/x
  3. Step 3: Cross multiply
    446.16x = 664.38 × 441.30
  4. Step 4: Simplify right side
    446.16x = 293,190.89
  5. Step 5: Solve for x
    x = 293,190.89/446.16
  6. Step 6: Final answer
    x = 657.14

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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.