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Finding the Fourth Proportional to 352.74, 486.32 and 287.12

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Solution

The fourth proportional to 352.74, 486.32 and 287.12 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.74 : 486.32 = 287.12 : x
  2. Step 2: Convert to fraction form
    352.74/486.32 = 287.12/x
  3. Step 3: Cross multiply
    352.74x = 486.32 × 287.12
  4. Step 4: Simplify right side
    352.74x = 139,632.20
  5. Step 5: Solve for x
    x = 139,632.20/352.74
  6. Step 6: Final answer
    x = 395.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.