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Finding the Fourth Proportional to 153.72, 211.90 and 122.59

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Solution

The fourth proportional to 153.72, 211.90 and 122.59 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 211.90 = 122.59 : x
  2. Step 2: Convert to fraction form
    153.72/211.90 = 122.59/x
  3. Step 3: Cross multiply
    153.72x = 211.90 × 122.59
  4. Step 4: Simplify right side
    153.72x = 25,976.41
  5. Step 5: Solve for x
    x = 25,976.41/153.72
  6. Step 6: Final answer
    x = 168.98

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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.