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Finding the Fourth Proportional to 444.09, 665.61 and 213.06

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Solution

The fourth proportional to 444.09, 665.61 and 213.06 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.09 : 665.61 = 213.06 : x
  2. Step 2: Convert to fraction form
    444.09/665.61 = 213.06/x
  3. Step 3: Cross multiply
    444.09x = 665.61 × 213.06
  4. Step 4: Simplify right side
    444.09x = 141,814.87
  5. Step 5: Solve for x
    x = 141,814.87/444.09
  6. Step 6: Final answer
    x = 319.34

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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.