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Finding the Fourth Proportional to 172.13, 259.47 and 157.07

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Solution

The fourth proportional to 172.13, 259.47 and 157.07 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 259.47 = 157.07 : x
  2. Step 2: Convert to fraction form
    172.13/259.47 = 157.07/x
  3. Step 3: Cross multiply
    172.13x = 259.47 × 157.07
  4. Step 4: Simplify right side
    172.13x = 40,755.60
  5. Step 5: Solve for x
    x = 40,755.60/172.13
  6. Step 6: Final answer
    x = 236.78

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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.