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Finding the Fourth Proportional to 322.77, 483.30 and 254.43

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Solution

The fourth proportional to 322.77, 483.30 and 254.43 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.77 : 483.30 = 254.43 : x
  2. Step 2: Convert to fraction form
    322.77/483.30 = 254.43/x
  3. Step 3: Cross multiply
    322.77x = 483.30 × 254.43
  4. Step 4: Simplify right side
    322.77x = 122,966.02
  5. Step 5: Solve for x
    x = 122,966.02/322.77
  6. Step 6: Final answer
    x = 380.97

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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.