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Finding the Fourth Proportional to 263.96, 362.08 and 257.20

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Solution

The fourth proportional to 263.96, 362.08 and 257.20 is: 352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 362.08 = 257.20 : x
  2. Step 2: Convert to fraction form
    263.96/362.08 = 257.20/x
  3. Step 3: Cross multiply
    263.96x = 362.08 × 257.20
  4. Step 4: Simplify right side
    263.96x = 93,126.98
  5. Step 5: Solve for x
    x = 93,126.98/263.96
  6. Step 6: Final answer
    x = 352.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.