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Finding the Fourth Proportional to 853.59, 1,280.36 and 268.58

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Solution

The fourth proportional to 853.59, 1,280.36 and 268.58 is: 402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.59 : 1,280.36 = 268.58 : x
  2. Step 2: Convert to fraction form
    853.59/1,280.36 = 268.58/x
  3. Step 3: Cross multiply
    853.59x = 1,280.36 × 268.58
  4. Step 4: Simplify right side
    853.59x = 343,871.34
  5. Step 5: Solve for x
    x = 343,871.34/853.59
  6. Step 6: Final answer
    x = 402.85

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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.