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Finding the Fourth Proportional to 322.72, 445.40 and 281.00

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Solution

The fourth proportional to 322.72, 445.40 and 281.00 is: 387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 445.40 = 281.00 : x
  2. Step 2: Convert to fraction form
    322.72/445.40 = 281.00/x
  3. Step 3: Cross multiply
    322.72x = 445.40 × 281.00
  4. Step 4: Simplify right side
    322.72x = 125,158.16
  5. Step 5: Solve for x
    x = 125,158.16/322.72
  6. Step 6: Final answer
    x = 387.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.