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Finding the Fourth Proportional to 172.96, 261 and 164.14

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Solution

The fourth proportional to 172.96, 261 and 164.14 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 261 = 164.14 : x
  2. Step 2: Convert to fraction form
    172.96/261 = 164.14/x
  3. Step 3: Cross multiply
    172.96x = 261 × 164.14
  4. Step 4: Simplify right side
    172.96x = 42,840.54
  5. Step 5: Solve for x
    x = 42,840.54/172.96
  6. Step 6: Final answer
    x = 247.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.