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Finding the Fourth Proportional to 397.29, 548.07 and 257.45

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Solution

The fourth proportional to 397.29, 548.07 and 257.45 is: 355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 548.07 = 257.45 : x
  2. Step 2: Convert to fraction form
    397.29/548.07 = 257.45/x
  3. Step 3: Cross multiply
    397.29x = 548.07 × 257.45
  4. Step 4: Simplify right side
    397.29x = 141,097.88
  5. Step 5: Solve for x
    x = 141,097.88/397.29
  6. Step 6: Final answer
    x = 355.16

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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.