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Finding the Fourth Proportional to 324.60, 447.78 and 235.98

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Solution

The fourth proportional to 324.60, 447.78 and 235.98 is: 325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 447.78 = 235.98 : x
  2. Step 2: Convert to fraction form
    324.60/447.78 = 235.98/x
  3. Step 3: Cross multiply
    324.60x = 447.78 × 235.98
  4. Step 4: Simplify right side
    324.60x = 105,667.12
  5. Step 5: Solve for x
    x = 105,667.12/324.60
  6. Step 6: Final answer
    x = 325.53

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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.