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Finding the Fourth Proportional to 352.27, 485.35 and 286.66

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Solution

The fourth proportional to 352.27, 485.35 and 286.66 is: 394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.27 : 485.35 = 286.66 : x
  2. Step 2: Convert to fraction form
    352.27/485.35 = 286.66/x
  3. Step 3: Cross multiply
    352.27x = 485.35 × 286.66
  4. Step 4: Simplify right side
    352.27x = 139,130.43
  5. Step 5: Solve for x
    x = 139,130.43/352.27
  6. Step 6: Final answer
    x = 394.95

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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.