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Finding the Fourth Proportional to 444.18, 666.14 and 270.84

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Solution

The fourth proportional to 444.18, 666.14 and 270.84 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.18 : 666.14 = 270.84 : x
  2. Step 2: Convert to fraction form
    444.18/666.14 = 270.84/x
  3. Step 3: Cross multiply
    444.18x = 666.14 × 270.84
  4. Step 4: Simplify right side
    444.18x = 180,416.00
  5. Step 5: Solve for x
    x = 180,416.00/444.18
  6. Step 6: Final answer
    x = 406.18

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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.