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Finding the Fourth Proportional to 202.44, 277.62 and 192.72

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Solution

The fourth proportional to 202.44, 277.62 and 192.72 is: 264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 277.62 = 192.72 : x
  2. Step 2: Convert to fraction form
    202.44/277.62 = 192.72/x
  3. Step 3: Cross multiply
    202.44x = 277.62 × 192.72
  4. Step 4: Simplify right side
    202.44x = 53,502.93
  5. Step 5: Solve for x
    x = 53,502.93/202.44
  6. Step 6: Final answer
    x = 264.29

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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.