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Finding the Fourth Proportional to 185.69, 256.31 and 123.57

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Solution

The fourth proportional to 185.69, 256.31 and 123.57 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 256.31 = 123.57 : x
  2. Step 2: Convert to fraction form
    185.69/256.31 = 123.57/x
  3. Step 3: Cross multiply
    185.69x = 256.31 × 123.57
  4. Step 4: Simplify right side
    185.69x = 31,671.61
  5. Step 5: Solve for x
    x = 31,671.61/185.69
  6. Step 6: Final answer
    x = 170.57

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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.