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Finding the Fourth Proportional to 251.28, 376.80 and 202.48

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Solution

The fourth proportional to 251.28, 376.80 and 202.48 is: 303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 376.80 = 202.48 : x
  2. Step 2: Convert to fraction form
    251.28/376.80 = 202.48/x
  3. Step 3: Cross multiply
    251.28x = 376.80 × 202.48
  4. Step 4: Simplify right side
    251.28x = 76,294.46
  5. Step 5: Solve for x
    x = 76,294.46/251.28
  6. Step 6: Final answer
    x = 303.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.