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Finding the Fourth Proportional to 172.13, 256.16 and 168.28

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Solution

The fourth proportional to 172.13, 256.16 and 168.28 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 256.16 = 168.28 : x
  2. Step 2: Convert to fraction form
    172.13/256.16 = 168.28/x
  3. Step 3: Cross multiply
    172.13x = 256.16 × 168.28
  4. Step 4: Simplify right side
    172.13x = 43,106.39
  5. Step 5: Solve for x
    x = 43,106.39/172.13
  6. Step 6: Final answer
    x = 250.44

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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.