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Finding the Fourth Proportional to 185.78, 256.23 and 133.22

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Solution

The fourth proportional to 185.78, 256.23 and 133.22 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 256.23 = 133.22 : x
  2. Step 2: Convert to fraction form
    185.78/256.23 = 133.22/x
  3. Step 3: Cross multiply
    185.78x = 256.23 × 133.22
  4. Step 4: Simplify right side
    185.78x = 34,133.68
  5. Step 5: Solve for x
    x = 34,133.68/185.78
  6. Step 6: Final answer
    x = 183.74

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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.