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Finding the Fourth Proportional to 201.81, 278.50 and 135.31

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Solution

The fourth proportional to 201.81, 278.50 and 135.31 is: 186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.81 : 278.50 = 135.31 : x
  2. Step 2: Convert to fraction form
    201.81/278.50 = 135.31/x
  3. Step 3: Cross multiply
    201.81x = 278.50 × 135.31
  4. Step 4: Simplify right side
    201.81x = 37,683.84
  5. Step 5: Solve for x
    x = 37,683.84/201.81
  6. Step 6: Final answer
    x = 186.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.