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Finding the Fourth Proportional to 185.60, 256.56 and 170.48

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Solution

The fourth proportional to 185.60, 256.56 and 170.48 is: 235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 256.56 = 170.48 : x
  2. Step 2: Convert to fraction form
    185.60/256.56 = 170.48/x
  3. Step 3: Cross multiply
    185.60x = 256.56 × 170.48
  4. Step 4: Simplify right side
    185.60x = 43,738.35
  5. Step 5: Solve for x
    x = 43,738.35/185.60
  6. Step 6: Final answer
    x = 235.66

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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.