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Finding the Fourth Proportional to 175.56, 261.96 and 158.24

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Solution

The fourth proportional to 175.56, 261.96 and 158.24 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 261.96 = 158.24 : x
  2. Step 2: Convert to fraction form
    175.56/261.96 = 158.24/x
  3. Step 3: Cross multiply
    175.56x = 261.96 × 158.24
  4. Step 4: Simplify right side
    175.56x = 41,452.55
  5. Step 5: Solve for x
    x = 41,452.55/175.56
  6. Step 6: Final answer
    x = 236.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.