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Finding the Fourth Proportional to 471.36, 650.12 and 323.76

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Solution

The fourth proportional to 471.36, 650.12 and 323.76 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 650.12 = 323.76 : x
  2. Step 2: Convert to fraction form
    471.36/650.12 = 323.76/x
  3. Step 3: Cross multiply
    471.36x = 650.12 × 323.76
  4. Step 4: Simplify right side
    471.36x = 210,482.85
  5. Step 5: Solve for x
    x = 210,482.85/471.36
  6. Step 6: Final answer
    x = 446.54

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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.