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Finding the Fourth Proportional to 104.16, 144.51 and 103.23

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Solution

The fourth proportional to 104.16, 144.51 and 103.23 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 144.51 = 103.23 : x
  2. Step 2: Convert to fraction form
    104.16/144.51 = 103.23/x
  3. Step 3: Cross multiply
    104.16x = 144.51 × 103.23
  4. Step 4: Simplify right side
    104.16x = 14,917.77
  5. Step 5: Solve for x
    x = 14,917.77/104.16
  6. Step 6: Final answer
    x = 143.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.