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Finding the Fourth Proportional to 400.43, 548.81 and 388.08

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Solution

The fourth proportional to 400.43, 548.81 and 388.08 is: 531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.43 : 548.81 = 388.08 : x
  2. Step 2: Convert to fraction form
    400.43/548.81 = 388.08/x
  3. Step 3: Cross multiply
    400.43x = 548.81 × 388.08
  4. Step 4: Simplify right side
    400.43x = 212,980.24
  5. Step 5: Solve for x
    x = 212,980.24/400.43
  6. Step 6: Final answer
    x = 531.89

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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.