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Finding the Fourth Proportional to 238.20, 359.12 and 214.71

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Solution

The fourth proportional to 238.20, 359.12 and 214.71 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 359.12 = 214.71 : x
  2. Step 2: Convert to fraction form
    238.20/359.12 = 214.71/x
  3. Step 3: Cross multiply
    238.20x = 359.12 × 214.71
  4. Step 4: Simplify right side
    238.20x = 77,105.58
  5. Step 5: Solve for x
    x = 77,105.58/238.20
  6. Step 6: Final answer
    x = 323.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.