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Finding the Fourth Proportional to 400.30, 548.75 and 393.91

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Solution

The fourth proportional to 400.30, 548.75 and 393.91 is: 539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.30 : 548.75 = 393.91 : x
  2. Step 2: Convert to fraction form
    400.30/548.75 = 393.91/x
  3. Step 3: Cross multiply
    400.30x = 548.75 × 393.91
  4. Step 4: Simplify right side
    400.30x = 216,157.73
  5. Step 5: Solve for x
    x = 216,157.73/400.30
  6. Step 6: Final answer
    x = 539.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.