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Finding the Fourth Proportional to 192.10, 289.19 and 172.25

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Solution

The fourth proportional to 192.10, 289.19 and 172.25 is: 259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 289.19 = 172.25 : x
  2. Step 2: Convert to fraction form
    192.10/289.19 = 172.25/x
  3. Step 3: Cross multiply
    192.10x = 289.19 × 172.25
  4. Step 4: Simplify right side
    192.10x = 49,812.98
  5. Step 5: Solve for x
    x = 49,812.98/192.10
  6. Step 6: Final answer
    x = 259.31

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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.