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Finding the Fourth Proportional to 104.41, 157.42 and 103.05

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Solution

The fourth proportional to 104.41, 157.42 and 103.05 is: 155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.41 : 157.42 = 103.05 : x
  2. Step 2: Convert to fraction form
    104.41/157.42 = 103.05/x
  3. Step 3: Cross multiply
    104.41x = 157.42 × 103.05
  4. Step 4: Simplify right side
    104.41x = 16,221.53
  5. Step 5: Solve for x
    x = 16,221.53/104.41
  6. Step 6: Final answer
    x = 155.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.