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Finding the Fourth Proportional to 105.99, 145.30 and 104.31

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Solution

The fourth proportional to 105.99, 145.30 and 104.31 is: 142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 145.30 = 104.31 : x
  2. Step 2: Convert to fraction form
    105.99/145.30 = 104.31/x
  3. Step 3: Cross multiply
    105.99x = 145.30 × 104.31
  4. Step 4: Simplify right side
    105.99x = 15,155.98
  5. Step 5: Solve for x
    x = 15,155.98/105.99
  6. Step 6: Final answer
    x = 142.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.