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Finding the Fourth Proportional to 178.05, 243.57 and 177.24

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Solution

The fourth proportional to 178.05, 243.57 and 177.24 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 243.57 = 177.24 : x
  2. Step 2: Convert to fraction form
    178.05/243.57 = 177.24/x
  3. Step 3: Cross multiply
    178.05x = 243.57 × 177.24
  4. Step 4: Simplify right side
    178.05x = 43,170.35
  5. Step 5: Solve for x
    x = 43,170.35/178.05
  6. Step 6: Final answer
    x = 242.46

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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.