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Finding the Fourth Proportional to 856.27, 1,283.91 and 271.16

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Solution

The fourth proportional to 856.27, 1,283.91 and 271.16 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.27 : 1,283.91 = 271.16 : x
  2. Step 2: Convert to fraction form
    856.27/1,283.91 = 271.16/x
  3. Step 3: Cross multiply
    856.27x = 1,283.91 × 271.16
  4. Step 4: Simplify right side
    856.27x = 348,139.57
  5. Step 5: Solve for x
    x = 348,139.57/856.27
  6. Step 6: Final answer
    x = 406.58

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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.