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Finding the Fourth Proportional to 177.38, 265 and 173.78

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Solution

The fourth proportional to 177.38, 265 and 173.78 is: 259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 265 = 173.78 : x
  2. Step 2: Convert to fraction form
    177.38/265 = 173.78/x
  3. Step 3: Cross multiply
    177.38x = 265 × 173.78
  4. Step 4: Simplify right side
    177.38x = 46,051.70
  5. Step 5: Solve for x
    x = 46,051.70/177.38
  6. Step 6: Final answer
    x = 259.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.