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Finding the Fourth Proportional to 350.76, 483.92 and 234.40

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Solution

The fourth proportional to 350.76, 483.92 and 234.40 is: 323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.76 : 483.92 = 234.40 : x
  2. Step 2: Convert to fraction form
    350.76/483.92 = 234.40/x
  3. Step 3: Cross multiply
    350.76x = 483.92 × 234.40
  4. Step 4: Simplify right side
    350.76x = 113,430.85
  5. Step 5: Solve for x
    x = 113,430.85/350.76
  6. Step 6: Final answer
    x = 323.39

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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.