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Finding the Fourth Proportional to 313.96, 433.46 and 210.60

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Solution

The fourth proportional to 313.96, 433.46 and 210.60 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 433.46 = 210.60 : x
  2. Step 2: Convert to fraction form
    313.96/433.46 = 210.60/x
  3. Step 3: Cross multiply
    313.96x = 433.46 × 210.60
  4. Step 4: Simplify right side
    313.96x = 91,286.68
  5. Step 5: Solve for x
    x = 91,286.68/313.96
  6. Step 6: Final answer
    x = 290.76

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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.