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Finding the Fourth Proportional to 180.36, 268.50 and 179.82

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Solution

The fourth proportional to 180.36, 268.50 and 179.82 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 268.50 = 179.82 : x
  2. Step 2: Convert to fraction form
    180.36/268.50 = 179.82/x
  3. Step 3: Cross multiply
    180.36x = 268.50 × 179.82
  4. Step 4: Simplify right side
    180.36x = 48,281.67
  5. Step 5: Solve for x
    x = 48,281.67/180.36
  6. Step 6: Final answer
    x = 267.70

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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.