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Finding the Fourth Proportional to 178.90, 266.84 and 163.18

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Solution

The fourth proportional to 178.90, 266.84 and 163.18 is: 243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 266.84 = 163.18 : x
  2. Step 2: Convert to fraction form
    178.90/266.84 = 163.18/x
  3. Step 3: Cross multiply
    178.90x = 266.84 × 163.18
  4. Step 4: Simplify right side
    178.90x = 43,542.95
  5. Step 5: Solve for x
    x = 43,542.95/178.90
  6. Step 6: Final answer
    x = 243.39

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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.