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Finding the Fourth Proportional to 135.34, 201.83 and 123.80

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Solution

The fourth proportional to 135.34, 201.83 and 123.80 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 201.83 = 123.80 : x
  2. Step 2: Convert to fraction form
    135.34/201.83 = 123.80/x
  3. Step 3: Cross multiply
    135.34x = 201.83 × 123.80
  4. Step 4: Simplify right side
    135.34x = 24,984.93
  5. Step 5: Solve for x
    x = 24,984.93/135.34
  6. Step 6: Final answer
    x = 184.61

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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.