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Finding the Fourth Proportional to 259, 386.33 and 234.76

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Solution

The fourth proportional to 259, 386.33 and 234.76 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 386.33 = 234.76 : x
  2. Step 2: Convert to fraction form
    259/386.33 = 234.76/x
  3. Step 3: Cross multiply
    259x = 386.33 × 234.76
  4. Step 4: Simplify right side
    259x = 90,694.83
  5. Step 5: Solve for x
    x = 90,694.83/259
  6. Step 6: Final answer
    x = 350.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.