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Finding the Fourth Proportional to 149.31, 223.43 and 97.74

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Solution

The fourth proportional to 149.31, 223.43 and 97.74 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 223.43 = 97.74 : x
  2. Step 2: Convert to fraction form
    149.31/223.43 = 97.74/x
  3. Step 3: Cross multiply
    149.31x = 223.43 × 97.74
  4. Step 4: Simplify right side
    149.31x = 21,837.56
  5. Step 5: Solve for x
    x = 21,837.56/149.31
  6. Step 6: Final answer
    x = 146.26

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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.