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Finding the Fourth Proportional to 153.93, 231.03 and 141.78

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Solution

The fourth proportional to 153.93, 231.03 and 141.78 is: 212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.93 : 231.03 = 141.78 : x
  2. Step 2: Convert to fraction form
    153.93/231.03 = 141.78/x
  3. Step 3: Cross multiply
    153.93x = 231.03 × 141.78
  4. Step 4: Simplify right side
    153.93x = 32,755.43
  5. Step 5: Solve for x
    x = 32,755.43/153.93
  6. Step 6: Final answer
    x = 212.79

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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.