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Finding the Fourth Proportional to 239.66, 358.58 and 142.21

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Solution

The fourth proportional to 239.66, 358.58 and 142.21 is: 212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.66 : 358.58 = 142.21 : x
  2. Step 2: Convert to fraction form
    239.66/358.58 = 142.21/x
  3. Step 3: Cross multiply
    239.66x = 358.58 × 142.21
  4. Step 4: Simplify right side
    239.66x = 50,993.66
  5. Step 5: Solve for x
    x = 50,993.66/239.66
  6. Step 6: Final answer
    x = 212.78

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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.