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Finding the Fourth Proportional to 444.35, 666.16 and 438.20

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Solution

The fourth proportional to 444.35, 666.16 and 438.20 is: 656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.35 : 666.16 = 438.20 : x
  2. Step 2: Convert to fraction form
    444.35/666.16 = 438.20/x
  3. Step 3: Cross multiply
    444.35x = 666.16 × 438.20
  4. Step 4: Simplify right side
    444.35x = 291,910.30
  5. Step 5: Solve for x
    x = 291,910.30/444.35
  6. Step 6: Final answer
    x = 656.94

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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.