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Finding the Fourth Proportional to 185.16, 256.05 and 168.83

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Solution

The fourth proportional to 185.16, 256.05 and 168.83 is: 233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 256.05 = 168.83 : x
  2. Step 2: Convert to fraction form
    185.16/256.05 = 168.83/x
  3. Step 3: Cross multiply
    185.16x = 256.05 × 168.83
  4. Step 4: Simplify right side
    185.16x = 43,227.64
  5. Step 5: Solve for x
    x = 43,227.64/185.16
  6. Step 6: Final answer
    x = 233.46

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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.