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Finding the Fourth Proportional to 153.74, 211.78 and 122.64

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Solution

The fourth proportional to 153.74, 211.78 and 122.64 is: 168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 211.78 = 122.64 : x
  2. Step 2: Convert to fraction form
    153.74/211.78 = 122.64/x
  3. Step 3: Cross multiply
    153.74x = 211.78 × 122.64
  4. Step 4: Simplify right side
    153.74x = 25,972.70
  5. Step 5: Solve for x
    x = 25,972.70/153.74
  6. Step 6: Final answer
    x = 168.94

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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.