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Finding the Fourth Proportional to 169.63, 255.72 and 157.88

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Solution

The fourth proportional to 169.63, 255.72 and 157.88 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.63 : 255.72 = 157.88 : x
  2. Step 2: Convert to fraction form
    169.63/255.72 = 157.88/x
  3. Step 3: Cross multiply
    169.63x = 255.72 × 157.88
  4. Step 4: Simplify right side
    169.63x = 40,374.30
  5. Step 5: Solve for x
    x = 40,374.30/169.63
  6. Step 6: Final answer
    x = 238.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.