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Finding the Fourth Proportional to 192.85, 287.77 and 172.34

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Solution

The fourth proportional to 192.85, 287.77 and 172.34 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.85 : 287.77 = 172.34 : x
  2. Step 2: Convert to fraction form
    192.85/287.77 = 172.34/x
  3. Step 3: Cross multiply
    192.85x = 287.77 × 172.34
  4. Step 4: Simplify right side
    192.85x = 49,594.28
  5. Step 5: Solve for x
    x = 49,594.28/192.85
  6. Step 6: Final answer
    x = 257.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.