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Finding the Fourth Proportional to 176.80, 256 and 176.80

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Solution

The fourth proportional to 176.80, 256 and 176.80 is: 256

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 256 = 176.80 : x
  2. Step 2: Convert to fraction form
    176.80/256 = 176.80/x
  3. Step 3: Cross multiply
    176.80x = 256 × 176.80
  4. Step 4: Simplify right side
    176.80x = 45,260.80
  5. Step 5: Solve for x
    x = 45,260.80/176.80
  6. Step 6: Final answer
    x = 256

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.