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Finding the Fourth Proportional to 856.06, 1,284.08 and 206.79

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Solution

The fourth proportional to 856.06, 1,284.08 and 206.79 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.06 : 1,284.08 = 206.79 : x
  2. Step 2: Convert to fraction form
    856.06/1,284.08 = 206.79/x
  3. Step 3: Cross multiply
    856.06x = 1,284.08 × 206.79
  4. Step 4: Simplify right side
    856.06x = 265,535.42
  5. Step 5: Solve for x
    x = 265,535.42/856.06
  6. Step 6: Final answer
    x = 310.18

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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.