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Finding the Fourth Proportional to 756, 1,134 and 208.13

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Solution

The fourth proportional to 756, 1,134 and 208.13 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 1,134 = 208.13 : x
  2. Step 2: Convert to fraction form
    756/1,134 = 208.13/x
  3. Step 3: Cross multiply
    756x = 1,134 × 208.13
  4. Step 4: Simplify right side
    756x = 236,013.75
  5. Step 5: Solve for x
    x = 236,013.75/756
  6. Step 6: Final answer
    x = 312.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.