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Finding the Fourth Proportional to 328.32, 452.72 and 310.96

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Solution

The fourth proportional to 328.32, 452.72 and 310.96 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 452.72 = 310.96 : x
  2. Step 2: Convert to fraction form
    328.32/452.72 = 310.96/x
  3. Step 3: Cross multiply
    328.32x = 452.72 × 310.96
  4. Step 4: Simplify right side
    328.32x = 140,777.81
  5. Step 5: Solve for x
    x = 140,777.81/328.32
  6. Step 6: Final answer
    x = 428.78

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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.