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Finding the Fourth Proportional to 322.72, 481.40 and 283.84

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Solution

The fourth proportional to 322.72, 481.40 and 283.84 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 481.40 = 283.84 : x
  2. Step 2: Convert to fraction form
    322.72/481.40 = 283.84/x
  3. Step 3: Cross multiply
    322.72x = 481.40 × 283.84
  4. Step 4: Simplify right side
    322.72x = 136,640.58
  5. Step 5: Solve for x
    x = 136,640.58/322.72
  6. Step 6: Final answer
    x = 423.40

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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.