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Finding the Fourth Proportional to 176.10, 255.21 and 176.10

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Solution

The fourth proportional to 176.10, 255.21 and 176.10 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 255.21 = 176.10 : x
  2. Step 2: Convert to fraction form
    176.10/255.21 = 176.10/x
  3. Step 3: Cross multiply
    176.10x = 255.21 × 176.10
  4. Step 4: Simplify right side
    176.10x = 44,942.48
  5. Step 5: Solve for x
    x = 44,942.48/176.10
  6. Step 6: Final answer
    x = 255.21

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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.