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Finding the Fourth Proportional to 397.04, 548.08 and 280.88

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Solution

The fourth proportional to 397.04, 548.08 and 280.88 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.04 : 548.08 = 280.88 : x
  2. Step 2: Convert to fraction form
    397.04/548.08 = 280.88/x
  3. Step 3: Cross multiply
    397.04x = 548.08 × 280.88
  4. Step 4: Simplify right side
    397.04x = 153,944.71
  5. Step 5: Solve for x
    x = 153,944.71/397.04
  6. Step 6: Final answer
    x = 387.73

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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.