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Finding the Fourth Proportional to 134.70, 200.94 and 123.21

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Solution

The fourth proportional to 134.70, 200.94 and 123.21 is: 183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 200.94 = 123.21 : x
  2. Step 2: Convert to fraction form
    134.70/200.94 = 123.21/x
  3. Step 3: Cross multiply
    134.70x = 200.94 × 123.21
  4. Step 4: Simplify right side
    134.70x = 24,757.82
  5. Step 5: Solve for x
    x = 24,757.82/134.70
  6. Step 6: Final answer
    x = 183.80

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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.