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Finding the Fourth Proportional to 178.41, 266.18 and 161.11

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Solution

The fourth proportional to 178.41, 266.18 and 161.11 is: 240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 266.18 = 161.11 : x
  2. Step 2: Convert to fraction form
    178.41/266.18 = 161.11/x
  3. Step 3: Cross multiply
    178.41x = 266.18 × 161.11
  4. Step 4: Simplify right side
    178.41x = 42,884.26
  5. Step 5: Solve for x
    x = 42,884.26/178.41
  6. Step 6: Final answer
    x = 240.37

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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.