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Finding the Fourth Proportional to 169.84, 235.85 and 168.24

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Solution

The fourth proportional to 169.84, 235.85 and 168.24 is: 233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 235.85 = 168.24 : x
  2. Step 2: Convert to fraction form
    169.84/235.85 = 168.24/x
  3. Step 3: Cross multiply
    169.84x = 235.85 × 168.24
  4. Step 4: Simplify right side
    169.84x = 39,679.40
  5. Step 5: Solve for x
    x = 39,679.40/169.84
  6. Step 6: Final answer
    x = 233.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.