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Finding the Fourth Proportional to 313.72, 433.14 and 203.44

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Solution

The fourth proportional to 313.72, 433.14 and 203.44 is: 280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 433.14 = 203.44 : x
  2. Step 2: Convert to fraction form
    313.72/433.14 = 203.44/x
  3. Step 3: Cross multiply
    313.72x = 433.14 × 203.44
  4. Step 4: Simplify right side
    313.72x = 88,118.00
  5. Step 5: Solve for x
    x = 88,118.00/313.72
  6. Step 6: Final answer
    x = 280.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.