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Finding the Fourth Proportional to 128.04, 177.56 and 126.42

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Solution

The fourth proportional to 128.04, 177.56 and 126.42 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.04 : 177.56 = 126.42 : x
  2. Step 2: Convert to fraction form
    128.04/177.56 = 126.42/x
  3. Step 3: Cross multiply
    128.04x = 177.56 × 126.42
  4. Step 4: Simplify right side
    128.04x = 22,446.50
  5. Step 5: Solve for x
    x = 22,446.50/128.04
  6. Step 6: Final answer
    x = 175.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.