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Finding the Fourth Proportional to 238.70, 356.34 and 224.93

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Solution

The fourth proportional to 238.70, 356.34 and 224.93 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 356.34 = 224.93 : x
  2. Step 2: Convert to fraction form
    238.70/356.34 = 224.93/x
  3. Step 3: Cross multiply
    238.70x = 356.34 × 224.93
  4. Step 4: Simplify right side
    238.70x = 80,149.77
  5. Step 5: Solve for x
    x = 80,149.77/238.70
  6. Step 6: Final answer
    x = 335.78

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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.