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Finding the Fourth Proportional to 444.34, 665.92 and 212.75

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Solution

The fourth proportional to 444.34, 665.92 and 212.75 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.34 : 665.92 = 212.75 : x
  2. Step 2: Convert to fraction form
    444.34/665.92 = 212.75/x
  3. Step 3: Cross multiply
    444.34x = 665.92 × 212.75
  4. Step 4: Simplify right side
    444.34x = 141,675.79
  5. Step 5: Solve for x
    x = 141,675.79/444.34
  6. Step 6: Final answer
    x = 318.85

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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.