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Finding the Fourth Proportional to 172.96, 258.03 and 158.84

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Solution

The fourth proportional to 172.96, 258.03 and 158.84 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 258.03 = 158.84 : x
  2. Step 2: Convert to fraction form
    172.96/258.03 = 158.84/x
  3. Step 3: Cross multiply
    172.96x = 258.03 × 158.84
  4. Step 4: Simplify right side
    172.96x = 40,986.13
  5. Step 5: Solve for x
    x = 40,986.13/172.96
  6. Step 6: Final answer
    x = 236.97

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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.