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Finding the Fourth Proportional to 149.63, 223.25 and 134.24

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Solution

The fourth proportional to 149.63, 223.25 and 134.24 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 223.25 = 134.24 : x
  2. Step 2: Convert to fraction form
    149.63/223.25 = 134.24/x
  3. Step 3: Cross multiply
    149.63x = 223.25 × 134.24
  4. Step 4: Simplify right side
    149.63x = 29,969.08
  5. Step 5: Solve for x
    x = 29,969.08/149.63
  6. Step 6: Final answer
    x = 200.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.