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Finding the Fourth Proportional to 272.12, 375.50 and 201.95

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Solution

The fourth proportional to 272.12, 375.50 and 201.95 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 375.50 = 201.95 : x
  2. Step 2: Convert to fraction form
    272.12/375.50 = 201.95/x
  3. Step 3: Cross multiply
    272.12x = 375.50 × 201.95
  4. Step 4: Simplify right side
    272.12x = 75,829.34
  5. Step 5: Solve for x
    x = 75,829.34/272.12
  6. Step 6: Final answer
    x = 278.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.