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Finding the Fourth Proportional to 444.89, 666.65 and 282.23

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Solution

The fourth proportional to 444.89, 666.65 and 282.23 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.89 : 666.65 = 282.23 : x
  2. Step 2: Convert to fraction form
    444.89/666.65 = 282.23/x
  3. Step 3: Cross multiply
    444.89x = 666.65 × 282.23
  4. Step 4: Simplify right side
    444.89x = 188,150.66
  5. Step 5: Solve for x
    x = 188,150.66/444.89
  6. Step 6: Final answer
    x = 422.91

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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.