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Finding the Fourth Proportional to 443.70, 664.02 and 305.82

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Solution

The fourth proportional to 443.70, 664.02 and 305.82 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 664.02 = 305.82 : x
  2. Step 2: Convert to fraction form
    443.70/664.02 = 305.82/x
  3. Step 3: Cross multiply
    443.70x = 664.02 × 305.82
  4. Step 4: Simplify right side
    443.70x = 203,070.60
  5. Step 5: Solve for x
    x = 203,070.60/443.70
  6. Step 6: Final answer
    x = 457.68

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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.