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Finding the Fourth Proportional to 350.78, 483.84 and 232.78

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Solution

The fourth proportional to 350.78, 483.84 and 232.78 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 483.84 = 232.78 : x
  2. Step 2: Convert to fraction form
    350.78/483.84 = 232.78/x
  3. Step 3: Cross multiply
    350.78x = 483.84 × 232.78
  4. Step 4: Simplify right side
    350.78x = 112,628.28
  5. Step 5: Solve for x
    x = 112,628.28/350.78
  6. Step 6: Final answer
    x = 321.08

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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.