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Finding the Fourth Proportional to 185.54, 256.30 and 130.25

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Solution

The fourth proportional to 185.54, 256.30 and 130.25 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.54 : 256.30 = 130.25 : x
  2. Step 2: Convert to fraction form
    185.54/256.30 = 130.25/x
  3. Step 3: Cross multiply
    185.54x = 256.30 × 130.25
  4. Step 4: Simplify right side
    185.54x = 33,383.39
  5. Step 5: Solve for x
    x = 33,383.39/185.54
  6. Step 6: Final answer
    x = 179.93

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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.