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Finding the Fourth Proportional to 354.75, 486.96 and 339.72

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Solution

The fourth proportional to 354.75, 486.96 and 339.72 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 486.96 = 339.72 : x
  2. Step 2: Convert to fraction form
    354.75/486.96 = 339.72/x
  3. Step 3: Cross multiply
    354.75x = 486.96 × 339.72
  4. Step 4: Simplify right side
    354.75x = 165,430.05
  5. Step 5: Solve for x
    x = 165,430.05/354.75
  6. Step 6: Final answer
    x = 466.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.