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Finding the Fourth Proportional to 153.44, 211.92 and 116.60

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Solution

The fourth proportional to 153.44, 211.92 and 116.60 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.44 : 211.92 = 116.60 : x
  2. Step 2: Convert to fraction form
    153.44/211.92 = 116.60/x
  3. Step 3: Cross multiply
    153.44x = 211.92 × 116.60
  4. Step 4: Simplify right side
    153.44x = 24,709.87
  5. Step 5: Solve for x
    x = 24,709.87/153.44
  6. Step 6: Final answer
    x = 161.04

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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.