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Finding the Fourth Proportional to 202.82, 302.86 and 192.30

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Solution

The fourth proportional to 202.82, 302.86 and 192.30 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 302.86 = 192.30 : x
  2. Step 2: Convert to fraction form
    202.82/302.86 = 192.30/x
  3. Step 3: Cross multiply
    202.82x = 302.86 × 192.30
  4. Step 4: Simplify right side
    202.82x = 58,239.98
  5. Step 5: Solve for x
    x = 58,239.98/202.82
  6. Step 6: Final answer
    x = 287.15

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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.