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Finding the Fourth Proportional to 263.81, 395.70 and 109.70

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Solution

The fourth proportional to 263.81, 395.70 and 109.70 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 395.70 = 109.70 : x
  2. Step 2: Convert to fraction form
    263.81/395.70 = 109.70/x
  3. Step 3: Cross multiply
    263.81x = 395.70 × 109.70
  4. Step 4: Simplify right side
    263.81x = 43,406.31
  5. Step 5: Solve for x
    x = 43,406.31/263.81
  6. Step 6: Final answer
    x = 164.54

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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.