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Finding the Fourth Proportional to 443.78, 665.75 and 212.51

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Solution

The fourth proportional to 443.78, 665.75 and 212.51 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.78 : 665.75 = 212.51 : x
  2. Step 2: Convert to fraction form
    443.78/665.75 = 212.51/x
  3. Step 3: Cross multiply
    443.78x = 665.75 × 212.51
  4. Step 4: Simplify right side
    443.78x = 141,476.98
  5. Step 5: Solve for x
    x = 141,476.98/443.78
  6. Step 6: Final answer
    x = 318.80

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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.