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Finding the Fourth Proportional to 202.53, 302.02 and 200.71

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Solution

The fourth proportional to 202.53, 302.02 and 200.71 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 302.02 = 200.71 : x
  2. Step 2: Convert to fraction form
    202.53/302.02 = 200.71/x
  3. Step 3: Cross multiply
    202.53x = 302.02 × 200.71
  4. Step 4: Simplify right side
    202.53x = 60,618.43
  5. Step 5: Solve for x
    x = 60,618.43/202.53
  6. Step 6: Final answer
    x = 299.31

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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.