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Finding the Fourth Proportional to 185.48, 254.60 and 164.30

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Solution

The fourth proportional to 185.48, 254.60 and 164.30 is: 225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.48 : 254.60 = 164.30 : x
  2. Step 2: Convert to fraction form
    185.48/254.60 = 164.30/x
  3. Step 3: Cross multiply
    185.48x = 254.60 × 164.30
  4. Step 4: Simplify right side
    185.48x = 41,828.69
  5. Step 5: Solve for x
    x = 41,828.69/185.48
  6. Step 6: Final answer
    x = 225.52

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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.