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Finding the Fourth Proportional to 391.27, 539.08 and 258.25

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Solution

The fourth proportional to 391.27, 539.08 and 258.25 is: 355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.27 : 539.08 = 258.25 : x
  2. Step 2: Convert to fraction form
    391.27/539.08 = 258.25/x
  3. Step 3: Cross multiply
    391.27x = 539.08 × 258.25
  4. Step 4: Simplify right side
    391.27x = 139,217.17
  5. Step 5: Solve for x
    x = 139,217.17/391.27
  6. Step 6: Final answer
    x = 355.81

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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.