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Finding the Fourth Proportional to 172.32, 238.08 and 170.88

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Solution

The fourth proportional to 172.32, 238.08 and 170.88 is: 236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 238.08 = 170.88 : x
  2. Step 2: Convert to fraction form
    172.32/238.08 = 170.88/x
  3. Step 3: Cross multiply
    172.32x = 238.08 × 170.88
  4. Step 4: Simplify right side
    172.32x = 40,683.11
  5. Step 5: Solve for x
    x = 40,683.11/172.32
  6. Step 6: Final answer
    x = 236.09

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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.