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Finding the Fourth Proportional to 233.40, 350.49 and 142.56

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Solution

The fourth proportional to 233.40, 350.49 and 142.56 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 350.49 = 142.56 : x
  2. Step 2: Convert to fraction form
    233.40/350.49 = 142.56/x
  3. Step 3: Cross multiply
    233.40x = 350.49 × 142.56
  4. Step 4: Simplify right side
    233.40x = 49,965.85
  5. Step 5: Solve for x
    x = 49,965.85/233.40
  6. Step 6: Final answer
    x = 214.08

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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.