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Finding the Fourth Proportional to 444.60, 666.90 and 213.60

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Solution

The fourth proportional to 444.60, 666.90 and 213.60 is: 320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 666.90 = 213.60 : x
  2. Step 2: Convert to fraction form
    444.60/666.90 = 213.60/x
  3. Step 3: Cross multiply
    444.60x = 666.90 × 213.60
  4. Step 4: Simplify right side
    444.60x = 142,449.84
  5. Step 5: Solve for x
    x = 142,449.84/444.60
  6. Step 6: Final answer
    x = 320.40

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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.