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Finding the Fourth Proportional to 259.84, 391.02 and 234.28

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Solution

The fourth proportional to 259.84, 391.02 and 234.28 is: 352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 391.02 = 234.28 : x
  2. Step 2: Convert to fraction form
    259.84/391.02 = 234.28/x
  3. Step 3: Cross multiply
    259.84x = 391.02 × 234.28
  4. Step 4: Simplify right side
    259.84x = 91,608.17
  5. Step 5: Solve for x
    x = 91,608.17/259.84
  6. Step 6: Final answer
    x = 352.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.