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Finding the Fourth Proportional to 231.44, 315.20 and 230.24

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Solution

The fourth proportional to 231.44, 315.20 and 230.24 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 315.20 = 230.24 : x
  2. Step 2: Convert to fraction form
    231.44/315.20 = 230.24/x
  3. Step 3: Cross multiply
    231.44x = 315.20 × 230.24
  4. Step 4: Simplify right side
    231.44x = 72,571.65
  5. Step 5: Solve for x
    x = 72,571.65/231.44
  6. Step 6: Final answer
    x = 313.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.