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Finding the Fourth Proportional to 172.36, 238.86 and 162.10

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Solution

The fourth proportional to 172.36, 238.86 and 162.10 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.36 : 238.86 = 162.10 : x
  2. Step 2: Convert to fraction form
    172.36/238.86 = 162.10/x
  3. Step 3: Cross multiply
    172.36x = 238.86 × 162.10
  4. Step 4: Simplify right side
    172.36x = 38,719.21
  5. Step 5: Solve for x
    x = 38,719.21/172.36
  6. Step 6: Final answer
    x = 224.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.