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Finding the Fourth Proportional to 324.23, 485.42 and 241.80

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Solution

The fourth proportional to 324.23, 485.42 and 241.80 is: 362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.23 : 485.42 = 241.80 : x
  2. Step 2: Convert to fraction form
    324.23/485.42 = 241.80/x
  3. Step 3: Cross multiply
    324.23x = 485.42 × 241.80
  4. Step 4: Simplify right side
    324.23x = 117,373.35
  5. Step 5: Solve for x
    x = 117,373.35/324.23
  6. Step 6: Final answer
    x = 362.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.