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Finding the Fourth Proportional to 179.88, 271.18 and 168.14

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Solution

The fourth proportional to 179.88, 271.18 and 168.14 is: 253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 271.18 = 168.14 : x
  2. Step 2: Convert to fraction form
    179.88/271.18 = 168.14/x
  3. Step 3: Cross multiply
    179.88x = 271.18 × 168.14
  4. Step 4: Simplify right side
    179.88x = 45,596.21
  5. Step 5: Solve for x
    x = 45,596.21/179.88
  6. Step 6: Final answer
    x = 253.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.