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Finding the Fourth Proportional to 313.94, 433.26 and 189.63

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Solution

The fourth proportional to 313.94, 433.26 and 189.63 is: 261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 433.26 = 189.63 : x
  2. Step 2: Convert to fraction form
    313.94/433.26 = 189.63/x
  3. Step 3: Cross multiply
    313.94x = 433.26 × 189.63
  4. Step 4: Simplify right side
    313.94x = 82,159.09
  5. Step 5: Solve for x
    x = 82,159.09/313.94
  6. Step 6: Final answer
    x = 261.70

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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.