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Finding the Fourth Proportional to 349.07, 481.77 and 201.67

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Solution

The fourth proportional to 349.07, 481.77 and 201.67 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.07 : 481.77 = 201.67 : x
  2. Step 2: Convert to fraction form
    349.07/481.77 = 201.67/x
  3. Step 3: Cross multiply
    349.07x = 481.77 × 201.67
  4. Step 4: Simplify right side
    349.07x = 97,157.35
  5. Step 5: Solve for x
    x = 97,157.35/349.07
  6. Step 6: Final answer
    x = 278.34

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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.