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Finding the Fourth Proportional to 168.85, 233.02 and 102.45

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Solution

The fourth proportional to 168.85, 233.02 and 102.45 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.85 : 233.02 = 102.45 : x
  2. Step 2: Convert to fraction form
    168.85/233.02 = 102.45/x
  3. Step 3: Cross multiply
    168.85x = 233.02 × 102.45
  4. Step 4: Simplify right side
    168.85x = 23,872.01
  5. Step 5: Solve for x
    x = 23,872.01/168.85
  6. Step 6: Final answer
    x = 141.38

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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.