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Finding the Fourth Proportional to 270.68, 405.81 and 133.75

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Solution

The fourth proportional to 270.68, 405.81 and 133.75 is: 200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 405.81 = 133.75 : x
  2. Step 2: Convert to fraction form
    270.68/405.81 = 133.75/x
  3. Step 3: Cross multiply
    270.68x = 405.81 × 133.75
  4. Step 4: Simplify right side
    270.68x = 54,277.59
  5. Step 5: Solve for x
    x = 54,277.59/270.68
  6. Step 6: Final answer
    x = 200.53

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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.