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Finding the Fourth Proportional to 201.74, 301.15 and 172.67

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Solution

The fourth proportional to 201.74, 301.15 and 172.67 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 301.15 = 172.67 : x
  2. Step 2: Convert to fraction form
    201.74/301.15 = 172.67/x
  3. Step 3: Cross multiply
    201.74x = 301.15 × 172.67
  4. Step 4: Simplify right side
    201.74x = 51,999.57
  5. Step 5: Solve for x
    x = 51,999.57/201.74
  6. Step 6: Final answer
    x = 257.76

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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.