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Finding the Fourth Proportional to 263.76, 363.96 and 186.20

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Solution

The fourth proportional to 263.76, 363.96 and 186.20 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 363.96 = 186.20 : x
  2. Step 2: Convert to fraction form
    263.76/363.96 = 186.20/x
  3. Step 3: Cross multiply
    263.76x = 363.96 × 186.20
  4. Step 4: Simplify right side
    263.76x = 67,769.35
  5. Step 5: Solve for x
    x = 67,769.35/263.76
  6. Step 6: Final answer
    x = 256.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.