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Finding the Fourth Proportional to 185.76, 256.41 and 126.90

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Solution

The fourth proportional to 185.76, 256.41 and 126.90 is: 175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.41 = 126.90 : x
  2. Step 2: Convert to fraction form
    185.76/256.41 = 126.90/x
  3. Step 3: Cross multiply
    185.76x = 256.41 × 126.90
  4. Step 4: Simplify right side
    185.76x = 32,538.43
  5. Step 5: Solve for x
    x = 32,538.43/185.76
  6. Step 6: Final answer
    x = 175.16

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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.