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Finding the Fourth Proportional to 231.79, 317.78 and 227.71

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Solution

The fourth proportional to 231.79, 317.78 and 227.71 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.79 : 317.78 = 227.71 : x
  2. Step 2: Convert to fraction form
    231.79/317.78 = 227.71/x
  3. Step 3: Cross multiply
    231.79x = 317.78 × 227.71
  4. Step 4: Simplify right side
    231.79x = 72,361.68
  5. Step 5: Solve for x
    x = 72,361.68/231.79
  6. Step 6: Final answer
    x = 312.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.