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Finding the Fourth Proportional to 397, 548.10 and 259.24

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Solution

The fourth proportional to 397, 548.10 and 259.24 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 548.10 = 259.24 : x
  2. Step 2: Convert to fraction form
    397/548.10 = 259.24/x
  3. Step 3: Cross multiply
    397x = 548.10 × 259.24
  4. Step 4: Simplify right side
    397x = 142,089.44
  5. Step 5: Solve for x
    x = 142,089.44/397
  6. Step 6: Final answer
    x = 357.91

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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.