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Finding the Fourth Proportional to 153.45, 229.89 and 120.80

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Solution

The fourth proportional to 153.45, 229.89 and 120.80 is: 180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 229.89 = 120.80 : x
  2. Step 2: Convert to fraction form
    153.45/229.89 = 120.80/x
  3. Step 3: Cross multiply
    153.45x = 229.89 × 120.80
  4. Step 4: Simplify right side
    153.45x = 27,770.71
  5. Step 5: Solve for x
    x = 27,770.71/153.45
  6. Step 6: Final answer
    x = 180.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.