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Finding the Fourth Proportional to 185.94, 256.50 and 126.95

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Solution

The fourth proportional to 185.94, 256.50 and 126.95 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 256.50 = 126.95 : x
  2. Step 2: Convert to fraction form
    185.94/256.50 = 126.95/x
  3. Step 3: Cross multiply
    185.94x = 256.50 × 126.95
  4. Step 4: Simplify right side
    185.94x = 32,561.39
  5. Step 5: Solve for x
    x = 32,561.39/185.94
  6. Step 6: Final answer
    x = 175.12

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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.