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Finding the Fourth Proportional to 324.25, 486.46 and 272.77

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Solution

The fourth proportional to 324.25, 486.46 and 272.77 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 486.46 = 272.77 : x
  2. Step 2: Convert to fraction form
    324.25/486.46 = 272.77/x
  3. Step 3: Cross multiply
    324.25x = 486.46 × 272.77
  4. Step 4: Simplify right side
    324.25x = 132,689.28
  5. Step 5: Solve for x
    x = 132,689.28/324.25
  6. Step 6: Final answer
    x = 409.22

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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.