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Finding the Fourth Proportional to 185.85, 254.27 and 185.31

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Solution

The fourth proportional to 185.85, 254.27 and 185.31 is: 253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 254.27 = 185.31 : x
  2. Step 2: Convert to fraction form
    185.85/254.27 = 185.31/x
  3. Step 3: Cross multiply
    185.85x = 254.27 × 185.31
  4. Step 4: Simplify right side
    185.85x = 47,119.24
  5. Step 5: Solve for x
    x = 47,119.24/185.85
  6. Step 6: Final answer
    x = 253.53

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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.