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Finding the Fourth Proportional to 313.95, 433.25 and 181.19

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Solution

The fourth proportional to 313.95, 433.25 and 181.19 is: 250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 433.25 = 181.19 : x
  2. Step 2: Convert to fraction form
    313.95/433.25 = 181.19/x
  3. Step 3: Cross multiply
    313.95x = 433.25 × 181.19
  4. Step 4: Simplify right side
    313.95x = 78,498.99
  5. Step 5: Solve for x
    x = 78,498.99/313.95
  6. Step 6: Final answer
    x = 250.04

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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.