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Finding the Fourth Proportional to 444.74, 666.33 and 271.00

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Solution

The fourth proportional to 444.74, 666.33 and 271.00 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 666.33 = 271.00 : x
  2. Step 2: Convert to fraction form
    444.74/666.33 = 271.00/x
  3. Step 3: Cross multiply
    444.74x = 666.33 × 271.00
  4. Step 4: Simplify right side
    444.74x = 180,571.50
  5. Step 5: Solve for x
    x = 180,571.50/444.74
  6. Step 6: Final answer
    x = 406.02

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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.