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Finding the Fourth Proportional to 172.23, 257.45 and 128.49

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Solution

The fourth proportional to 172.23, 257.45 and 128.49 is: 192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 257.45 = 128.49 : x
  2. Step 2: Convert to fraction form
    172.23/257.45 = 128.49/x
  3. Step 3: Cross multiply
    172.23x = 257.45 × 128.49
  4. Step 4: Simplify right side
    172.23x = 33,079.75
  5. Step 5: Solve for x
    x = 33,079.75/172.23
  6. Step 6: Final answer
    x = 192.07

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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.