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Finding the Fourth Proportional to 286.90, 395.60 and 216.02

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Solution

The fourth proportional to 286.90, 395.60 and 216.02 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 395.60 = 216.02 : x
  2. Step 2: Convert to fraction form
    286.90/395.60 = 216.02/x
  3. Step 3: Cross multiply
    286.90x = 395.60 × 216.02
  4. Step 4: Simplify right side
    286.90x = 85,457.42
  5. Step 5: Solve for x
    x = 85,457.42/286.90
  6. Step 6: Final answer
    x = 297.87

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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.