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Finding the Fourth Proportional to 200.39, 298.83 and 195.53

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Solution

The fourth proportional to 200.39, 298.83 and 195.53 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.39 : 298.83 = 195.53 : x
  2. Step 2: Convert to fraction form
    200.39/298.83 = 195.53/x
  3. Step 3: Cross multiply
    200.39x = 298.83 × 195.53
  4. Step 4: Simplify right side
    200.39x = 58,429.25
  5. Step 5: Solve for x
    x = 58,429.25/200.39
  6. Step 6: Final answer
    x = 291.58

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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.