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Finding the Fourth Proportional to 173.15, 258.97 and 150.68

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Solution

The fourth proportional to 173.15, 258.97 and 150.68 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.15 : 258.97 = 150.68 : x
  2. Step 2: Convert to fraction form
    173.15/258.97 = 150.68/x
  3. Step 3: Cross multiply
    173.15x = 258.97 × 150.68
  4. Step 4: Simplify right side
    173.15x = 39,021.12
  5. Step 5: Solve for x
    x = 39,021.12/173.15
  6. Step 6: Final answer
    x = 225.35

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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.