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Finding the Fourth Proportional to 239.49, 358.33 and 142.05

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Solution

The fourth proportional to 239.49, 358.33 and 142.05 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.49 : 358.33 = 142.05 : x
  2. Step 2: Convert to fraction form
    239.49/358.33 = 142.05/x
  3. Step 3: Cross multiply
    239.49x = 358.33 × 142.05
  4. Step 4: Simplify right side
    239.49x = 50,900.78
  5. Step 5: Solve for x
    x = 50,900.78/239.49
  6. Step 6: Final answer
    x = 212.54

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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.