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Finding the Fourth Proportional to 185.42, 255.31 and 158.99

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Solution

The fourth proportional to 185.42, 255.31 and 158.99 is: 218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.31 = 158.99 : x
  2. Step 2: Convert to fraction form
    185.42/255.31 = 158.99/x
  3. Step 3: Cross multiply
    185.42x = 255.31 × 158.99
  4. Step 4: Simplify right side
    185.42x = 40,591.74
  5. Step 5: Solve for x
    x = 40,591.74/185.42
  6. Step 6: Final answer
    x = 218.92

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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.