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Finding the Fourth Proportional to 178.98, 267.03 and 162.78

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Solution

The fourth proportional to 178.98, 267.03 and 162.78 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 267.03 = 162.78 : x
  2. Step 2: Convert to fraction form
    178.98/267.03 = 162.78/x
  3. Step 3: Cross multiply
    178.98x = 267.03 × 162.78
  4. Step 4: Simplify right side
    178.98x = 43,467.14
  5. Step 5: Solve for x
    x = 43,467.14/178.98
  6. Step 6: Final answer
    x = 242.86

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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.