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Finding the Fourth Proportional to 202.69, 302.43 and 200.62

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Solution

The fourth proportional to 202.69, 302.43 and 200.62 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.69 : 302.43 = 200.62 : x
  2. Step 2: Convert to fraction form
    202.69/302.43 = 200.62/x
  3. Step 3: Cross multiply
    202.69x = 302.43 × 200.62
  4. Step 4: Simplify right side
    202.69x = 60,673.51
  5. Step 5: Solve for x
    x = 60,673.51/202.69
  6. Step 6: Final answer
    x = 299.34

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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.