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Finding the Fourth Proportional to 173.89, 259.42 and 172.67

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Solution

The fourth proportional to 173.89, 259.42 and 172.67 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.89 : 259.42 = 172.67 : x
  2. Step 2: Convert to fraction form
    173.89/259.42 = 172.67/x
  3. Step 3: Cross multiply
    173.89x = 259.42 × 172.67
  4. Step 4: Simplify right side
    173.89x = 44,794.05
  5. Step 5: Solve for x
    x = 44,794.05/173.89
  6. Step 6: Final answer
    x = 257.60

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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.