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Finding the Fourth Proportional to 324.89, 448.08 and 231.60

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Solution

The fourth proportional to 324.89, 448.08 and 231.60 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.89 : 448.08 = 231.60 : x
  2. Step 2: Convert to fraction form
    324.89/448.08 = 231.60/x
  3. Step 3: Cross multiply
    324.89x = 448.08 × 231.60
  4. Step 4: Simplify right side
    324.89x = 103,774.98
  5. Step 5: Solve for x
    x = 103,774.98/324.89
  6. Step 6: Final answer
    x = 319.42

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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.