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Finding the Fourth Proportional to 202.87, 302.29 and 195.13

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Solution

The fourth proportional to 202.87, 302.29 and 195.13 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 302.29 = 195.13 : x
  2. Step 2: Convert to fraction form
    202.87/302.29 = 195.13/x
  3. Step 3: Cross multiply
    202.87x = 302.29 × 195.13
  4. Step 4: Simplify right side
    202.87x = 58,985.85
  5. Step 5: Solve for x
    x = 58,985.85/202.87
  6. Step 6: Final answer
    x = 290.76

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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.