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Finding the Fourth Proportional to 329.32, 496.48 and 311.68

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Solution

The fourth proportional to 329.32, 496.48 and 311.68 is: 469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 496.48 = 311.68 : x
  2. Step 2: Convert to fraction form
    329.32/496.48 = 311.68/x
  3. Step 3: Cross multiply
    329.32x = 496.48 × 311.68
  4. Step 4: Simplify right side
    329.32x = 154,742.89
  5. Step 5: Solve for x
    x = 154,742.89/329.32
  6. Step 6: Final answer
    x = 469.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.