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Finding the Fourth Proportional to 444.06, 665.85 and 212.81

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Solution

The fourth proportional to 444.06, 665.85 and 212.81 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.06 : 665.85 = 212.81 : x
  2. Step 2: Convert to fraction form
    444.06/665.85 = 212.81/x
  3. Step 3: Cross multiply
    444.06x = 665.85 × 212.81
  4. Step 4: Simplify right side
    444.06x = 141,696.21
  5. Step 5: Solve for x
    x = 141,696.21/444.06
  6. Step 6: Final answer
    x = 319.09

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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.