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Finding the Fourth Proportional to 105.41, 156.99 and 104.81

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Solution

The fourth proportional to 105.41, 156.99 and 104.81 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 156.99 = 104.81 : x
  2. Step 2: Convert to fraction form
    105.41/156.99 = 104.81/x
  3. Step 3: Cross multiply
    105.41x = 156.99 × 104.81
  4. Step 4: Simplify right side
    105.41x = 16,453.34
  5. Step 5: Solve for x
    x = 16,453.34/105.41
  6. Step 6: Final answer
    x = 156.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.