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Finding the Fourth Proportional to 238.70, 356.34 and 202.24

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Solution

The fourth proportional to 238.70, 356.34 and 202.24 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 356.34 = 202.24 : x
  2. Step 2: Convert to fraction form
    238.70/356.34 = 202.24/x
  3. Step 3: Cross multiply
    238.70x = 356.34 × 202.24
  4. Step 4: Simplify right side
    238.70x = 72,066.20
  5. Step 5: Solve for x
    x = 72,066.20/238.70
  6. Step 6: Final answer
    x = 301.91

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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.