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Finding the Fourth Proportional to 263.05, 394.46 and 116.80

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Solution

The fourth proportional to 263.05, 394.46 and 116.80 is: 175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.05 : 394.46 = 116.80 : x
  2. Step 2: Convert to fraction form
    263.05/394.46 = 116.80/x
  3. Step 3: Cross multiply
    263.05x = 394.46 × 116.80
  4. Step 4: Simplify right side
    263.05x = 46,070.37
  5. Step 5: Solve for x
    x = 46,070.37/263.05
  6. Step 6: Final answer
    x = 175.14

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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.