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Finding the Fourth Proportional to 173.34, 258.48 and 149.09

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Solution

The fourth proportional to 173.34, 258.48 and 149.09 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.34 : 258.48 = 149.09 : x
  2. Step 2: Convert to fraction form
    173.34/258.48 = 149.09/x
  3. Step 3: Cross multiply
    173.34x = 258.48 × 149.09
  4. Step 4: Simplify right side
    173.34x = 38,535.49
  5. Step 5: Solve for x
    x = 38,535.49/173.34
  6. Step 6: Final answer
    x = 222.31

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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.