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Finding the Fourth Proportional to 239.90, 358.94 and 142.46

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Solution

The fourth proportional to 239.90, 358.94 and 142.46 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.90 : 358.94 = 142.46 : x
  2. Step 2: Convert to fraction form
    239.90/358.94 = 142.46/x
  3. Step 3: Cross multiply
    239.90x = 358.94 × 142.46
  4. Step 4: Simplify right side
    239.90x = 51,132.80
  5. Step 5: Solve for x
    x = 51,132.80/239.90
  6. Step 6: Final answer
    x = 213.14

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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.