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Finding the Fourth Proportional to 176.60, 265.91 and 165.80

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Solution

The fourth proportional to 176.60, 265.91 and 165.80 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 265.91 = 165.80 : x
  2. Step 2: Convert to fraction form
    176.60/265.91 = 165.80/x
  3. Step 3: Cross multiply
    176.60x = 265.91 × 165.80
  4. Step 4: Simplify right side
    176.60x = 44,087.88
  5. Step 5: Solve for x
    x = 44,087.88/176.60
  6. Step 6: Final answer
    x = 249.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.