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Finding the Fourth Proportional to 153.93, 231.24 and 108.36

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Solution

The fourth proportional to 153.93, 231.24 and 108.36 is: 162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.93 : 231.24 = 108.36 : x
  2. Step 2: Convert to fraction form
    153.93/231.24 = 108.36/x
  3. Step 3: Cross multiply
    153.93x = 231.24 × 108.36
  4. Step 4: Simplify right side
    153.93x = 25,057.17
  5. Step 5: Solve for x
    x = 25,057.17/153.93
  6. Step 6: Final answer
    x = 162.78

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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.