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Finding the Fourth Proportional to 303.96, 453.71 and 278.31

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Solution

The fourth proportional to 303.96, 453.71 and 278.31 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 453.71 = 278.31 : x
  2. Step 2: Convert to fraction form
    303.96/453.71 = 278.31/x
  3. Step 3: Cross multiply
    303.96x = 453.71 × 278.31
  4. Step 4: Simplify right side
    303.96x = 126,270.64
  5. Step 5: Solve for x
    x = 126,270.64/303.96
  6. Step 6: Final answer
    x = 415.42

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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.