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Finding the Fourth Proportional to 185.75, 256.55 and 123.47

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Solution

The fourth proportional to 185.75, 256.55 and 123.47 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.75 : 256.55 = 123.47 : x
  2. Step 2: Convert to fraction form
    185.75/256.55 = 123.47/x
  3. Step 3: Cross multiply
    185.75x = 256.55 × 123.47
  4. Step 4: Simplify right side
    185.75x = 31,675.29
  5. Step 5: Solve for x
    x = 31,675.29/185.75
  6. Step 6: Final answer
    x = 170.53

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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.