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Finding the Fourth Proportional to 264.04, 396.22 and 119.80

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Solution

The fourth proportional to 264.04, 396.22 and 119.80 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.04 : 396.22 = 119.80 : x
  2. Step 2: Convert to fraction form
    264.04/396.22 = 119.80/x
  3. Step 3: Cross multiply
    264.04x = 396.22 × 119.80
  4. Step 4: Simplify right side
    264.04x = 47,467.16
  5. Step 5: Solve for x
    x = 47,467.16/264.04
  6. Step 6: Final answer
    x = 179.77

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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.