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Finding the Fourth Proportional to 398.40, 548.64 and 353.76

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Solution

The fourth proportional to 398.40, 548.64 and 353.76 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.40 : 548.64 = 353.76 : x
  2. Step 2: Convert to fraction form
    398.40/548.64 = 353.76/x
  3. Step 3: Cross multiply
    398.40x = 548.64 × 353.76
  4. Step 4: Simplify right side
    398.40x = 194,086.89
  5. Step 5: Solve for x
    x = 194,086.89/398.40
  6. Step 6: Final answer
    x = 487.17

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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.