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Finding the Fourth Proportional to 177, 264.36 and 138.39

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Solution

The fourth proportional to 177, 264.36 and 138.39 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 264.36 = 138.39 : x
  2. Step 2: Convert to fraction form
    177/264.36 = 138.39/x
  3. Step 3: Cross multiply
    177x = 264.36 × 138.39
  4. Step 4: Simplify right side
    177x = 36,584.78
  5. Step 5: Solve for x
    x = 36,584.78/177
  6. Step 6: Final answer
    x = 206.69

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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.