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Finding the Fourth Proportional to 174.50, 260.39 and 158.34

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Solution

The fourth proportional to 174.50, 260.39 and 158.34 is: 236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.50 : 260.39 = 158.34 : x
  2. Step 2: Convert to fraction form
    174.50/260.39 = 158.34/x
  3. Step 3: Cross multiply
    174.50x = 260.39 × 158.34
  4. Step 4: Simplify right side
    174.50x = 41,229.36
  5. Step 5: Solve for x
    x = 41,229.36/174.50
  6. Step 6: Final answer
    x = 236.27

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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.