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Finding the Fourth Proportional to 313.94, 471.32 and 211.68

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Solution

The fourth proportional to 313.94, 471.32 and 211.68 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 471.32 = 211.68 : x
  2. Step 2: Convert to fraction form
    313.94/471.32 = 211.68/x
  3. Step 3: Cross multiply
    313.94x = 471.32 × 211.68
  4. Step 4: Simplify right side
    313.94x = 99,767.96
  5. Step 5: Solve for x
    x = 99,767.96/313.94
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.