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Finding the Fourth Proportional to 324.38, 486.16 and 287.93

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Solution

The fourth proportional to 324.38, 486.16 and 287.93 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.38 : 486.16 = 287.93 : x
  2. Step 2: Convert to fraction form
    324.38/486.16 = 287.93/x
  3. Step 3: Cross multiply
    324.38x = 486.16 × 287.93
  4. Step 4: Simplify right side
    324.38x = 139,980.05
  5. Step 5: Solve for x
    x = 139,980.05/324.38
  6. Step 6: Final answer
    x = 431.53

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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.