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Finding the Fourth Proportional to 176.38, 263.30 and 170.68

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Solution

The fourth proportional to 176.38, 263.30 and 170.68 is: 254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 263.30 = 170.68 : x
  2. Step 2: Convert to fraction form
    176.38/263.30 = 170.68/x
  3. Step 3: Cross multiply
    176.38x = 263.30 × 170.68
  4. Step 4: Simplify right side
    176.38x = 44,940.04
  5. Step 5: Solve for x
    x = 44,940.04/176.38
  6. Step 6: Final answer
    x = 254.79

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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.