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Finding the Fourth Proportional to 169.37, 233.49 and 138.23

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Solution

The fourth proportional to 169.37, 233.49 and 138.23 is: 190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.37 : 233.49 = 138.23 : x
  2. Step 2: Convert to fraction form
    169.37/233.49 = 138.23/x
  3. Step 3: Cross multiply
    169.37x = 233.49 × 138.23
  4. Step 4: Simplify right side
    169.37x = 32,275.32
  5. Step 5: Solve for x
    x = 32,275.32/169.37
  6. Step 6: Final answer
    x = 190.56

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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.