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Finding the Fourth Proportional to 444.51, 666.97 and 213.66

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Solution

The fourth proportional to 444.51, 666.97 and 213.66 is: 320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.51 : 666.97 = 213.66 : x
  2. Step 2: Convert to fraction form
    444.51/666.97 = 213.66/x
  3. Step 3: Cross multiply
    444.51x = 666.97 × 213.66
  4. Step 4: Simplify right side
    444.51x = 142,504.28
  5. Step 5: Solve for x
    x = 142,504.28/444.51
  6. Step 6: Final answer
    x = 320.59

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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.