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Finding the Fourth Proportional to 313.75, 433 and 182.75

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Solution

The fourth proportional to 313.75, 433 and 182.75 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 433 = 182.75 : x
  2. Step 2: Convert to fraction form
    313.75/433 = 182.75/x
  3. Step 3: Cross multiply
    313.75x = 433 × 182.75
  4. Step 4: Simplify right side
    313.75x = 79,130.75
  5. Step 5: Solve for x
    x = 79,130.75/313.75
  6. Step 6: Final answer
    x = 252.21

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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.