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Finding the Fourth Proportional to 329.77, 455.71 and 296.96

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Solution

The fourth proportional to 329.77, 455.71 and 296.96 is: 410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 455.71 = 296.96 : x
  2. Step 2: Convert to fraction form
    329.77/455.71 = 296.96/x
  3. Step 3: Cross multiply
    329.77x = 455.71 × 296.96
  4. Step 4: Simplify right side
    329.77x = 135,327.64
  5. Step 5: Solve for x
    x = 135,327.64/329.77
  6. Step 6: Final answer
    x = 410.38

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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.