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Finding the Fourth Proportional to 324.42, 444.45 and 312.09

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Solution

The fourth proportional to 324.42, 444.45 and 312.09 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 444.45 = 312.09 : x
  2. Step 2: Convert to fraction form
    324.42/444.45 = 312.09/x
  3. Step 3: Cross multiply
    324.42x = 444.45 × 312.09
  4. Step 4: Simplify right side
    324.42x = 138,708.40
  5. Step 5: Solve for x
    x = 138,708.40/324.42
  6. Step 6: Final answer
    x = 427.56

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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.