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Finding the Fourth Proportional to 201.24, 278.19 and 183.24

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Solution

The fourth proportional to 201.24, 278.19 and 183.24 is: 253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 278.19 = 183.24 : x
  2. Step 2: Convert to fraction form
    201.24/278.19 = 183.24/x
  3. Step 3: Cross multiply
    201.24x = 278.19 × 183.24
  4. Step 4: Simplify right side
    201.24x = 50,975.54
  5. Step 5: Solve for x
    x = 50,975.54/201.24
  6. Step 6: Final answer
    x = 253.31

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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.