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Finding the Fourth Proportional to 170.37, 235.09 and 100.43

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Solution

The fourth proportional to 170.37, 235.09 and 100.43 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.37 : 235.09 = 100.43 : x
  2. Step 2: Convert to fraction form
    170.37/235.09 = 100.43/x
  3. Step 3: Cross multiply
    170.37x = 235.09 × 100.43
  4. Step 4: Simplify right side
    170.37x = 23,610.09
  5. Step 5: Solve for x
    x = 23,610.09/170.37
  6. Step 6: Final answer
    x = 138.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.