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Finding the Fourth Proportional to 179.76, 268.20 and 175.65

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Solution

The fourth proportional to 179.76, 268.20 and 175.65 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 268.20 = 175.65 : x
  2. Step 2: Convert to fraction form
    179.76/268.20 = 175.65/x
  3. Step 3: Cross multiply
    179.76x = 268.20 × 175.65
  4. Step 4: Simplify right side
    179.76x = 47,109.33
  5. Step 5: Solve for x
    x = 47,109.33/179.76
  6. Step 6: Final answer
    x = 262.07

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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.