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Finding the Fourth Proportional to 185.92, 256.40 and 133.44

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Solution

The fourth proportional to 185.92, 256.40 and 133.44 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 256.40 = 133.44 : x
  2. Step 2: Convert to fraction form
    185.92/256.40 = 133.44/x
  3. Step 3: Cross multiply
    185.92x = 256.40 × 133.44
  4. Step 4: Simplify right side
    185.92x = 34,214.02
  5. Step 5: Solve for x
    x = 34,214.02/185.92
  6. Step 6: Final answer
    x = 184.03

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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.