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Finding the Fourth Proportional to 376.31, 562.20 and 238.25

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Solution

The fourth proportional to 376.31, 562.20 and 238.25 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 562.20 = 238.25 : x
  2. Step 2: Convert to fraction form
    376.31/562.20 = 238.25/x
  3. Step 3: Cross multiply
    376.31x = 562.20 × 238.25
  4. Step 4: Simplify right side
    376.31x = 133,944.15
  5. Step 5: Solve for x
    x = 133,944.15/376.31
  6. Step 6: Final answer
    x = 355.94

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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.