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Finding the Fourth Proportional to 313.56, 470.79 and 270.68

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Solution

The fourth proportional to 313.56, 470.79 and 270.68 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 470.79 = 270.68 : x
  2. Step 2: Convert to fraction form
    313.56/470.79 = 270.68/x
  3. Step 3: Cross multiply
    313.56x = 470.79 × 270.68
  4. Step 4: Simplify right side
    313.56x = 127,431.08
  5. Step 5: Solve for x
    x = 127,431.08/313.56
  6. Step 6: Final answer
    x = 406.40

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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.