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Finding the Fourth Proportional to 397.61, 548.98 and 257.81

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Solution

The fourth proportional to 397.61, 548.98 and 257.81 is: 355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 548.98 = 257.81 : x
  2. Step 2: Convert to fraction form
    397.61/548.98 = 257.81/x
  3. Step 3: Cross multiply
    397.61x = 548.98 × 257.81
  4. Step 4: Simplify right side
    397.61x = 141,533.26
  5. Step 5: Solve for x
    x = 141,533.26/397.61
  6. Step 6: Final answer
    x = 355.96

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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.