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Finding the Fourth Proportional to 177.05, 265.38 and 74.31

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Solution

The fourth proportional to 177.05, 265.38 and 74.31 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 265.38 = 74.31 : x
  2. Step 2: Convert to fraction form
    177.05/265.38 = 74.31/x
  3. Step 3: Cross multiply
    177.05x = 265.38 × 74.31
  4. Step 4: Simplify right side
    177.05x = 19,720.39
  5. Step 5: Solve for x
    x = 19,720.39/177.05
  6. Step 6: Final answer
    x = 111.38

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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.