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Finding the Fourth Proportional to 153.54, 211.66 and 120.73

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Solution

The fourth proportional to 153.54, 211.66 and 120.73 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 211.66 = 120.73 : x
  2. Step 2: Convert to fraction form
    153.54/211.66 = 120.73/x
  3. Step 3: Cross multiply
    153.54x = 211.66 × 120.73
  4. Step 4: Simplify right side
    153.54x = 25,553.71
  5. Step 5: Solve for x
    x = 25,553.71/153.54
  6. Step 6: Final answer
    x = 166.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.