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Finding the Fourth Proportional to 398.04, 548.28 and 281.40

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Solution

The fourth proportional to 398.04, 548.28 and 281.40 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.04 : 548.28 = 281.40 : x
  2. Step 2: Convert to fraction form
    398.04/548.28 = 281.40/x
  3. Step 3: Cross multiply
    398.04x = 548.28 × 281.40
  4. Step 4: Simplify right side
    398.04x = 154,285.99
  5. Step 5: Solve for x
    x = 154,285.99/398.04
  6. Step 6: Final answer
    x = 387.61

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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.