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Finding the Fourth Proportional to 176.24, 241.78 and 165.20

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Solution

The fourth proportional to 176.24, 241.78 and 165.20 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 241.78 = 165.20 : x
  2. Step 2: Convert to fraction form
    176.24/241.78 = 165.20/x
  3. Step 3: Cross multiply
    176.24x = 241.78 × 165.20
  4. Step 4: Simplify right side
    176.24x = 39,942.06
  5. Step 5: Solve for x
    x = 39,942.06/176.24
  6. Step 6: Final answer
    x = 226.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.