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Finding the Fourth Proportional to 185.54, 256.04 and 106.88

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Solution

The fourth proportional to 185.54, 256.04 and 106.88 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.54 : 256.04 = 106.88 : x
  2. Step 2: Convert to fraction form
    185.54/256.04 = 106.88/x
  3. Step 3: Cross multiply
    185.54x = 256.04 × 106.88
  4. Step 4: Simplify right side
    185.54x = 27,364.14
  5. Step 5: Solve for x
    x = 27,364.14/185.54
  6. Step 6: Final answer
    x = 147.49

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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.