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Finding the Fourth Proportional to 177.80, 265.75 and 126.09

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Solution

The fourth proportional to 177.80, 265.75 and 126.09 is: 188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 265.75 = 126.09 : x
  2. Step 2: Convert to fraction form
    177.80/265.75 = 126.09/x
  3. Step 3: Cross multiply
    177.80x = 265.75 × 126.09
  4. Step 4: Simplify right side
    177.80x = 33,508.10
  5. Step 5: Solve for x
    x = 33,508.10/177.80
  6. Step 6: Final answer
    x = 188.46

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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.