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Finding the Fourth Proportional to 208.06, 310.02 and 200.21

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Solution

The fourth proportional to 208.06, 310.02 and 200.21 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 310.02 = 200.21 : x
  2. Step 2: Convert to fraction form
    208.06/310.02 = 200.21/x
  3. Step 3: Cross multiply
    208.06x = 310.02 × 200.21
  4. Step 4: Simplify right side
    208.06x = 62,069.10
  5. Step 5: Solve for x
    x = 62,069.10/208.06
  6. Step 6: Final answer
    x = 298.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.