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Finding the Fourth Proportional to 202.87, 302.65 and 197.29

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Solution

The fourth proportional to 202.87, 302.65 and 197.29 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 302.65 = 197.29 : x
  2. Step 2: Convert to fraction form
    202.87/302.65 = 197.29/x
  3. Step 3: Cross multiply
    202.87x = 302.65 × 197.29
  4. Step 4: Simplify right side
    202.87x = 59,709.70
  5. Step 5: Solve for x
    x = 59,709.70/202.87
  6. Step 6: Final answer
    x = 294.32

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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.