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Finding the Fourth Proportional to 329.15, 452.32 and 296.75

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Solution

The fourth proportional to 329.15, 452.32 and 296.75 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 452.32 = 296.75 : x
  2. Step 2: Convert to fraction form
    329.15/452.32 = 296.75/x
  3. Step 3: Cross multiply
    329.15x = 452.32 × 296.75
  4. Step 4: Simplify right side
    329.15x = 134,225.96
  5. Step 5: Solve for x
    x = 134,225.96/329.15
  6. Step 6: Final answer
    x = 407.80

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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.