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Finding the Fourth Proportional to 853.87, 1,280.98 and 268.96

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Solution

The fourth proportional to 853.87, 1,280.98 and 268.96 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.87 : 1,280.98 = 268.96 : x
  2. Step 2: Convert to fraction form
    853.87/1,280.98 = 268.96/x
  3. Step 3: Cross multiply
    853.87x = 1,280.98 × 268.96
  4. Step 4: Simplify right side
    853.87x = 344,537.94
  5. Step 5: Solve for x
    x = 344,537.94/853.87
  6. Step 6: Final answer
    x = 403.50

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Double scale
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1.5x scale

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.