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Finding the Fourth Proportional to 313.98, 433.25 and 203.24

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Solution

The fourth proportional to 313.98, 433.25 and 203.24 is: 280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 433.25 = 203.24 : x
  2. Step 2: Convert to fraction form
    313.98/433.25 = 203.24/x
  3. Step 3: Cross multiply
    313.98x = 433.25 × 203.24
  4. Step 4: Simplify right side
    313.98x = 88,054.56
  5. Step 5: Solve for x
    x = 88,054.56/313.98
  6. Step 6: Final answer
    x = 280.45

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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.