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Finding the Fourth Proportional to 202.83, 302.97 and 192.51

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Solution

The fourth proportional to 202.83, 302.97 and 192.51 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 302.97 = 192.51 : x
  2. Step 2: Convert to fraction form
    202.83/302.97 = 192.51/x
  3. Step 3: Cross multiply
    202.83x = 302.97 × 192.51
  4. Step 4: Simplify right side
    202.83x = 58,324.75
  5. Step 5: Solve for x
    x = 58,324.75/202.83
  6. Step 6: Final answer
    x = 287.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.