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Finding the Fourth Proportional to 172.77, 238.29 and 113.66

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Solution

The fourth proportional to 172.77, 238.29 and 113.66 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.77 : 238.29 = 113.66 : x
  2. Step 2: Convert to fraction form
    172.77/238.29 = 113.66/x
  3. Step 3: Cross multiply
    172.77x = 238.29 × 113.66
  4. Step 4: Simplify right side
    172.77x = 27,083.45
  5. Step 5: Solve for x
    x = 27,083.45/172.77
  6. Step 6: Final answer
    x = 156.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.