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Finding the Fourth Proportional to 216.70, 298.83 and 200.50

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Solution

The fourth proportional to 216.70, 298.83 and 200.50 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.70 : 298.83 = 200.50 : x
  2. Step 2: Convert to fraction form
    216.70/298.83 = 200.50/x
  3. Step 3: Cross multiply
    216.70x = 298.83 × 200.50
  4. Step 4: Simplify right side
    216.70x = 59,915.42
  5. Step 5: Solve for x
    x = 59,915.42/216.70
  6. Step 6: Final answer
    x = 276.49

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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.