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Finding the Fourth Proportional to 174.96, 239.76 and 172.68

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Solution

The fourth proportional to 174.96, 239.76 and 172.68 is: 236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 239.76 = 172.68 : x
  2. Step 2: Convert to fraction form
    174.96/239.76 = 172.68/x
  3. Step 3: Cross multiply
    174.96x = 239.76 × 172.68
  4. Step 4: Simplify right side
    174.96x = 41,401.76
  5. Step 5: Solve for x
    x = 41,401.76/174.96
  6. Step 6: Final answer
    x = 236.64

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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.