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Finding the Fourth Proportional to 180.45, 268.51 and 179.84

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Solution

The fourth proportional to 180.45, 268.51 and 179.84 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 268.51 = 179.84 : x
  2. Step 2: Convert to fraction form
    180.45/268.51 = 179.84/x
  3. Step 3: Cross multiply
    180.45x = 268.51 × 179.84
  4. Step 4: Simplify right side
    180.45x = 48,289.06
  5. Step 5: Solve for x
    x = 48,289.06/180.45
  6. Step 6: Final answer
    x = 267.60

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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.