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Finding the Fourth Proportional to 238.94, 359.63 and 203.70

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Solution

The fourth proportional to 238.94, 359.63 and 203.70 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.94 : 359.63 = 203.70 : x
  2. Step 2: Convert to fraction form
    238.94/359.63 = 203.70/x
  3. Step 3: Cross multiply
    238.94x = 359.63 × 203.70
  4. Step 4: Simplify right side
    238.94x = 73,256.63
  5. Step 5: Solve for x
    x = 73,256.63/238.94
  6. Step 6: Final answer
    x = 306.59

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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.