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Finding the Fourth Proportional to 169.16, 233.26 and 138.12

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Solution

The fourth proportional to 169.16, 233.26 and 138.12 is: 190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.26 = 138.12 : x
  2. Step 2: Convert to fraction form
    169.16/233.26 = 138.12/x
  3. Step 3: Cross multiply
    169.16x = 233.26 × 138.12
  4. Step 4: Simplify right side
    169.16x = 32,217.87
  5. Step 5: Solve for x
    x = 32,217.87/169.16
  6. Step 6: Final answer
    x = 190.46

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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.