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Finding the Fourth Proportional to 856.19, 1,284.28 and 206.92

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Solution

The fourth proportional to 856.19, 1,284.28 and 206.92 is: 310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.19 : 1,284.28 = 206.92 : x
  2. Step 2: Convert to fraction form
    856.19/1,284.28 = 206.92/x
  3. Step 3: Cross multiply
    856.19x = 1,284.28 × 206.92
  4. Step 4: Simplify right side
    856.19x = 265,747.88
  5. Step 5: Solve for x
    x = 265,747.88/856.19
  6. Step 6: Final answer
    x = 310.38

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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.