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Finding the Fourth Proportional to 179.30, 268 and 153.80

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Solution

The fourth proportional to 179.30, 268 and 153.80 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 268 = 153.80 : x
  2. Step 2: Convert to fraction form
    179.30/268 = 153.80/x
  3. Step 3: Cross multiply
    179.30x = 268 × 153.80
  4. Step 4: Simplify right side
    179.30x = 41,218.40
  5. Step 5: Solve for x
    x = 41,218.40/179.30
  6. Step 6: Final answer
    x = 229.89

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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.