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Finding the Fourth Proportional to 262.90, 395.03 and 202.30

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Solution

The fourth proportional to 262.90, 395.03 and 202.30 is: 303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 395.03 = 202.30 : x
  2. Step 2: Convert to fraction form
    262.90/395.03 = 202.30/x
  3. Step 3: Cross multiply
    262.90x = 395.03 × 202.30
  4. Step 4: Simplify right side
    262.90x = 79,912.95
  5. Step 5: Solve for x
    x = 79,912.95/262.90
  6. Step 6: Final answer
    x = 303.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.