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Finding the Fourth Proportional to 443.10, 663.57 and 298.38

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Solution

The fourth proportional to 443.10, 663.57 and 298.38 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.10 : 663.57 = 298.38 : x
  2. Step 2: Convert to fraction form
    443.10/663.57 = 298.38/x
  3. Step 3: Cross multiply
    443.10x = 663.57 × 298.38
  4. Step 4: Simplify right side
    443.10x = 197,996.02
  5. Step 5: Solve for x
    x = 197,996.02/443.10
  6. Step 6: Final answer
    x = 446.84

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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.