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Finding the Fourth Proportional to 397, 547.86 and 259

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Solution

The fourth proportional to 397, 547.86 and 259 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 547.86 = 259 : x
  2. Step 2: Convert to fraction form
    397/547.86 = 259/x
  3. Step 3: Cross multiply
    397x = 547.86 × 259
  4. Step 4: Simplify right side
    397x = 141,895.74
  5. Step 5: Solve for x
    x = 141,895.74/397
  6. Step 6: Final answer
    x = 357.42

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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.