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Finding the Fourth Proportional to 443.98, 665.82 and 212.74

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Solution

The fourth proportional to 443.98, 665.82 and 212.74 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 665.82 = 212.74 : x
  2. Step 2: Convert to fraction form
    443.98/665.82 = 212.74/x
  3. Step 3: Cross multiply
    443.98x = 665.82 × 212.74
  4. Step 4: Simplify right side
    443.98x = 141,646.55
  5. Step 5: Solve for x
    x = 141,646.55/443.98
  6. Step 6: Final answer
    x = 319.04

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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.