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Finding the Fourth Proportional to 313.08, 471.35 and 217.56

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Solution

The fourth proportional to 313.08, 471.35 and 217.56 is: 327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 471.35 = 217.56 : x
  2. Step 2: Convert to fraction form
    313.08/471.35 = 217.56/x
  3. Step 3: Cross multiply
    313.08x = 471.35 × 217.56
  4. Step 4: Simplify right side
    313.08x = 102,546.91
  5. Step 5: Solve for x
    x = 102,546.91/313.08
  6. Step 6: Final answer
    x = 327.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.