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Finding the Fourth Proportional to 202.53, 277.69 and 192.09

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Solution

The fourth proportional to 202.53, 277.69 and 192.09 is: 263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 277.69 = 192.09 : x
  2. Step 2: Convert to fraction form
    202.53/277.69 = 192.09/x
  3. Step 3: Cross multiply
    202.53x = 277.69 × 192.09
  4. Step 4: Simplify right side
    202.53x = 53,340.99
  5. Step 5: Solve for x
    x = 53,340.99/202.53
  6. Step 6: Final answer
    x = 263.37

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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.