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Finding the Fourth Proportional to 324.63, 483.57 and 309.90

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Solution

The fourth proportional to 324.63, 483.57 and 309.90 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.63 : 483.57 = 309.90 : x
  2. Step 2: Convert to fraction form
    324.63/483.57 = 309.90/x
  3. Step 3: Cross multiply
    324.63x = 483.57 × 309.90
  4. Step 4: Simplify right side
    324.63x = 149,858.80
  5. Step 5: Solve for x
    x = 149,858.80/324.63
  6. Step 6: Final answer
    x = 461.63

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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.