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Finding the Fourth Proportional to 233.33, 349.81 and 142.00

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Solution

The fourth proportional to 233.33, 349.81 and 142.00 is: 212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.33 : 349.81 = 142.00 : x
  2. Step 2: Convert to fraction form
    233.33/349.81 = 142.00/x
  3. Step 3: Cross multiply
    233.33x = 349.81 × 142.00
  4. Step 4: Simplify right side
    233.33x = 49,670.56
  5. Step 5: Solve for x
    x = 49,670.56/233.33
  6. Step 6: Final answer
    x = 212.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.