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Finding the Fourth Proportional to 443.05, 663.82 and 305.61

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Solution

The fourth proportional to 443.05, 663.82 and 305.61 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 663.82 = 305.61 : x
  2. Step 2: Convert to fraction form
    443.05/663.82 = 305.61/x
  3. Step 3: Cross multiply
    443.05x = 663.82 × 305.61
  4. Step 4: Simplify right side
    443.05x = 202,870.03
  5. Step 5: Solve for x
    x = 202,870.03/443.05
  6. Step 6: Final answer
    x = 457.89

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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.