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Finding the Fourth Proportional to 234.01, 350.45 and 142.50

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Solution

The fourth proportional to 234.01, 350.45 and 142.50 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.01 : 350.45 = 142.50 : x
  2. Step 2: Convert to fraction form
    234.01/350.45 = 142.50/x
  3. Step 3: Cross multiply
    234.01x = 350.45 × 142.50
  4. Step 4: Simplify right side
    234.01x = 49,939.13
  5. Step 5: Solve for x
    x = 49,939.13/234.01
  6. Step 6: Final answer
    x = 213.41

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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.