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Finding the Fourth Proportional to 172.13, 256.37 and 163.45

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Solution

The fourth proportional to 172.13, 256.37 and 163.45 is: 243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 256.37 = 163.45 : x
  2. Step 2: Convert to fraction form
    172.13/256.37 = 163.45/x
  3. Step 3: Cross multiply
    172.13x = 256.37 × 163.45
  4. Step 4: Simplify right side
    172.13x = 41,903.18
  5. Step 5: Solve for x
    x = 41,903.18/172.13
  6. Step 6: Final answer
    x = 243.45

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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.