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Finding the Fourth Proportional to 168.40, 230.69 and 153.82

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Solution

The fourth proportional to 168.40, 230.69 and 153.82 is: 210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 230.69 = 153.82 : x
  2. Step 2: Convert to fraction form
    168.40/230.69 = 153.82/x
  3. Step 3: Cross multiply
    168.40x = 230.69 × 153.82
  4. Step 4: Simplify right side
    168.40x = 35,484.74
  5. Step 5: Solve for x
    x = 35,484.74/168.40
  6. Step 6: Final answer
    x = 210.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.