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Finding the Fourth Proportional to 200.81, 301 and 123.56

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Solution

The fourth proportional to 200.81, 301 and 123.56 is: 185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 301 = 123.56 : x
  2. Step 2: Convert to fraction form
    200.81/301 = 123.56/x
  3. Step 3: Cross multiply
    200.81x = 301 × 123.56
  4. Step 4: Simplify right side
    200.81x = 37,191.56
  5. Step 5: Solve for x
    x = 37,191.56/200.81
  6. Step 6: Final answer
    x = 185.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.