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Finding the Fourth Proportional to 471.05, 650.04 and 274.63

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Solution

The fourth proportional to 471.05, 650.04 and 274.63 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 650.04 = 274.63 : x
  2. Step 2: Convert to fraction form
    471.05/650.04 = 274.63/x
  3. Step 3: Cross multiply
    471.05x = 650.04 × 274.63
  4. Step 4: Simplify right side
    471.05x = 178,520.49
  5. Step 5: Solve for x
    x = 178,520.49/471.05
  6. Step 6: Final answer
    x = 378.98

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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.