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Finding the Fourth Proportional to 179.98, 268.69 and 147.94

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Solution

The fourth proportional to 179.98, 268.69 and 147.94 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.98 : 268.69 = 147.94 : x
  2. Step 2: Convert to fraction form
    179.98/268.69 = 147.94/x
  3. Step 3: Cross multiply
    179.98x = 268.69 × 147.94
  4. Step 4: Simplify right side
    179.98x = 39,750.00
  5. Step 5: Solve for x
    x = 39,750.00/179.98
  6. Step 6: Final answer
    x = 220.86

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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.