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Finding the Fourth Proportional to 176.20, 263.76 and 137.80

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Solution

The fourth proportional to 176.20, 263.76 and 137.80 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 263.76 = 137.80 : x
  2. Step 2: Convert to fraction form
    176.20/263.76 = 137.80/x
  3. Step 3: Cross multiply
    176.20x = 263.76 × 137.80
  4. Step 4: Simplify right side
    176.20x = 36,346.13
  5. Step 5: Solve for x
    x = 36,346.13/176.20
  6. Step 6: Final answer
    x = 206.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.