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Finding the Fourth Proportional to 397.92, 549.60 and 281.28

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Solution

The fourth proportional to 397.92, 549.60 and 281.28 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 549.60 = 281.28 : x
  2. Step 2: Convert to fraction form
    397.92/549.60 = 281.28/x
  3. Step 3: Cross multiply
    397.92x = 549.60 × 281.28
  4. Step 4: Simplify right side
    397.92x = 154,591.49
  5. Step 5: Solve for x
    x = 154,591.49/397.92
  6. Step 6: Final answer
    x = 388.50

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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.