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Finding the Fourth Proportional to 231.40, 324.50 and 231.40

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Solution

The fourth proportional to 231.40, 324.50 and 231.40 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.40 : 324.50 = 231.40 : x
  2. Step 2: Convert to fraction form
    231.40/324.50 = 231.40/x
  3. Step 3: Cross multiply
    231.40x = 324.50 × 231.40
  4. Step 4: Simplify right side
    231.40x = 75,089.30
  5. Step 5: Solve for x
    x = 75,089.30/231.40
  6. Step 6: Final answer
    x = 324.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.