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Finding the Fourth Proportional to 709.12, 1,063.56 and 196

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Solution

The fourth proportional to 709.12, 1,063.56 and 196 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,063.56 = 196 : x
  2. Step 2: Convert to fraction form
    709.12/1,063.56 = 196/x
  3. Step 3: Cross multiply
    709.12x = 1,063.56 × 196
  4. Step 4: Simplify right side
    709.12x = 208,457.76
  5. Step 5: Solve for x
    x = 208,457.76/709.12
  6. Step 6: Final answer
    x = 293.97

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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.