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Finding the Fourth Proportional to 185.53, 257.83 and 183.25

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Solution

The fourth proportional to 185.53, 257.83 and 183.25 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.53 : 257.83 = 183.25 : x
  2. Step 2: Convert to fraction form
    185.53/257.83 = 183.25/x
  3. Step 3: Cross multiply
    185.53x = 257.83 × 183.25
  4. Step 4: Simplify right side
    185.53x = 47,247.35
  5. Step 5: Solve for x
    x = 47,247.35/185.53
  6. Step 6: Final answer
    x = 254.66

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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.