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Finding the Fourth Proportional to 286.83, 395.59 and 216.90

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Solution

The fourth proportional to 286.83, 395.59 and 216.90 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 395.59 = 216.90 : x
  2. Step 2: Convert to fraction form
    286.83/395.59 = 216.90/x
  3. Step 3: Cross multiply
    286.83x = 395.59 × 216.90
  4. Step 4: Simplify right side
    286.83x = 85,803.47
  5. Step 5: Solve for x
    x = 85,803.47/286.83
  6. Step 6: Final answer
    x = 299.14

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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.