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Finding the Fourth Proportional to 219.53, 301.31 and 201.06

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Solution

The fourth proportional to 219.53, 301.31 and 201.06 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 301.31 = 201.06 : x
  2. Step 2: Convert to fraction form
    219.53/301.31 = 201.06/x
  3. Step 3: Cross multiply
    219.53x = 301.31 × 201.06
  4. Step 4: Simplify right side
    219.53x = 60,580.38
  5. Step 5: Solve for x
    x = 60,580.38/219.53
  6. Step 6: Final answer
    x = 275.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.