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Finding the Fourth Proportional to 311.51, 467.36 and 149.33

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Solution

The fourth proportional to 311.51, 467.36 and 149.33 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.51 : 467.36 = 149.33 : x
  2. Step 2: Convert to fraction form
    311.51/467.36 = 149.33/x
  3. Step 3: Cross multiply
    311.51x = 467.36 × 149.33
  4. Step 4: Simplify right side
    311.51x = 69,790.12
  5. Step 5: Solve for x
    x = 69,790.12/311.51
  6. Step 6: Final answer
    x = 224.04

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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.