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Finding the Fourth Proportional to 153.99, 231.08 and 81.86

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Solution

The fourth proportional to 153.99, 231.08 and 81.86 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.99 : 231.08 = 81.86 : x
  2. Step 2: Convert to fraction form
    153.99/231.08 = 81.86/x
  3. Step 3: Cross multiply
    153.99x = 231.08 × 81.86
  4. Step 4: Simplify right side
    153.99x = 18,914.64
  5. Step 5: Solve for x
    x = 18,914.64/153.99
  6. Step 6: Final answer
    x = 122.83

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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.