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Finding the Fourth Proportional to 324.37, 486.57 and 286.12

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Solution

The fourth proportional to 324.37, 486.57 and 286.12 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 486.57 = 286.12 : x
  2. Step 2: Convert to fraction form
    324.37/486.57 = 286.12/x
  3. Step 3: Cross multiply
    324.37x = 486.57 × 286.12
  4. Step 4: Simplify right side
    324.37x = 139,214.98
  5. Step 5: Solve for x
    x = 139,214.98/324.37
  6. Step 6: Final answer
    x = 429.19

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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.