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Finding the Fourth Proportional to 178.12, 243.83 and 172.59

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Solution

The fourth proportional to 178.12, 243.83 and 172.59 is: 236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 243.83 = 172.59 : x
  2. Step 2: Convert to fraction form
    178.12/243.83 = 172.59/x
  3. Step 3: Cross multiply
    178.12x = 243.83 × 172.59
  4. Step 4: Simplify right side
    178.12x = 42,082.62
  5. Step 5: Solve for x
    x = 42,082.62/178.12
  6. Step 6: Final answer
    x = 236.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.