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Finding the Fourth Proportional to 175.40, 240.24 and 165.43

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Solution

The fourth proportional to 175.40, 240.24 and 165.43 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 240.24 = 165.43 : x
  2. Step 2: Convert to fraction form
    175.40/240.24 = 165.43/x
  3. Step 3: Cross multiply
    175.40x = 240.24 × 165.43
  4. Step 4: Simplify right side
    175.40x = 39,742.90
  5. Step 5: Solve for x
    x = 39,742.90/175.40
  6. Step 6: Final answer
    x = 226.58

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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.