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Finding the Fourth Proportional to 397.36, 548.08 and 257.48

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Solution

The fourth proportional to 397.36, 548.08 and 257.48 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.36 : 548.08 = 257.48 : x
  2. Step 2: Convert to fraction form
    397.36/548.08 = 257.48/x
  3. Step 3: Cross multiply
    397.36x = 548.08 × 257.48
  4. Step 4: Simplify right side
    397.36x = 141,119.64
  5. Step 5: Solve for x
    x = 141,119.64/397.36
  6. Step 6: Final answer
    x = 355.14

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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.