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Finding the Fourth Proportional to 201.33, 303.66 and 174.60

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Solution

The fourth proportional to 201.33, 303.66 and 174.60 is: 263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.33 : 303.66 = 174.60 : x
  2. Step 2: Convert to fraction form
    201.33/303.66 = 174.60/x
  3. Step 3: Cross multiply
    201.33x = 303.66 × 174.60
  4. Step 4: Simplify right side
    201.33x = 53,019.04
  5. Step 5: Solve for x
    x = 53,019.04/201.33
  6. Step 6: Final answer
    x = 263.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.