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Finding the Fourth Proportional to 324.94, 485.35 and 306.22

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Solution

The fourth proportional to 324.94, 485.35 and 306.22 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.94 : 485.35 = 306.22 : x
  2. Step 2: Convert to fraction form
    324.94/485.35 = 306.22/x
  3. Step 3: Cross multiply
    324.94x = 485.35 × 306.22
  4. Step 4: Simplify right side
    324.94x = 148,623.88
  5. Step 5: Solve for x
    x = 148,623.88/324.94
  6. Step 6: Final answer
    x = 457.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.