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Finding the Fourth Proportional to 239.26, 356.95 and 213.12

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Solution

The fourth proportional to 239.26, 356.95 and 213.12 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.26 : 356.95 = 213.12 : x
  2. Step 2: Convert to fraction form
    239.26/356.95 = 213.12/x
  3. Step 3: Cross multiply
    239.26x = 356.95 × 213.12
  4. Step 4: Simplify right side
    239.26x = 76,072.12
  5. Step 5: Solve for x
    x = 76,072.12/239.26
  6. Step 6: Final answer
    x = 317.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.