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Finding the Fourth Proportional to 233.40, 350.26 and 142.12

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Solution

The fourth proportional to 233.40, 350.26 and 142.12 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 350.26 = 142.12 : x
  2. Step 2: Convert to fraction form
    233.40/350.26 = 142.12/x
  3. Step 3: Cross multiply
    233.40x = 350.26 × 142.12
  4. Step 4: Simplify right side
    233.40x = 49,778.95
  5. Step 5: Solve for x
    x = 49,778.95/233.40
  6. Step 6: Final answer
    x = 213.28

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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.