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Finding the Fourth Proportional to 135.04, 201.94 and 100.83

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Solution

The fourth proportional to 135.04, 201.94 and 100.83 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.04 : 201.94 = 100.83 : x
  2. Step 2: Convert to fraction form
    135.04/201.94 = 100.83/x
  3. Step 3: Cross multiply
    135.04x = 201.94 × 100.83
  4. Step 4: Simplify right side
    135.04x = 20,361.61
  5. Step 5: Solve for x
    x = 20,361.61/135.04
  6. Step 6: Final answer
    x = 150.78

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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.