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Finding the Fourth Proportional to 177.05, 265.42 and 165.20

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Solution

The fourth proportional to 177.05, 265.42 and 165.20 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 265.42 = 165.20 : x
  2. Step 2: Convert to fraction form
    177.05/265.42 = 165.20/x
  3. Step 3: Cross multiply
    177.05x = 265.42 × 165.20
  4. Step 4: Simplify right side
    177.05x = 43,847.38
  5. Step 5: Solve for x
    x = 43,847.38/177.05
  6. Step 6: Final answer
    x = 247.66

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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.