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Finding the Fourth Proportional to 397.96, 548.87 and 258.17

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Solution

The fourth proportional to 397.96, 548.87 and 258.17 is: 356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 548.87 = 258.17 : x
  2. Step 2: Convert to fraction form
    397.96/548.87 = 258.17/x
  3. Step 3: Cross multiply
    397.96x = 548.87 × 258.17
  4. Step 4: Simplify right side
    397.96x = 141,697.73
  5. Step 5: Solve for x
    x = 141,697.73/397.96
  6. Step 6: Final answer
    x = 356.06

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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.