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Finding the Fourth Proportional to 400.41, 548.56 and 386.54

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Solution

The fourth proportional to 400.41, 548.56 and 386.54 is: 529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.41 : 548.56 = 386.54 : x
  2. Step 2: Convert to fraction form
    400.41/548.56 = 386.54/x
  3. Step 3: Cross multiply
    400.41x = 548.56 × 386.54
  4. Step 4: Simplify right side
    400.41x = 212,038.01
  5. Step 5: Solve for x
    x = 212,038.01/400.41
  6. Step 6: Final answer
    x = 529.55

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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.