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Finding the Fourth Proportional to 172.56, 238 and 110.34

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Solution

The fourth proportional to 172.56, 238 and 110.34 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 238 = 110.34 : x
  2. Step 2: Convert to fraction form
    172.56/238 = 110.34/x
  3. Step 3: Cross multiply
    172.56x = 238 × 110.34
  4. Step 4: Simplify right side
    172.56x = 26,260.92
  5. Step 5: Solve for x
    x = 26,260.92/172.56
  6. Step 6: Final answer
    x = 152.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.