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Finding the Fourth Proportional to 382.72, 528.52 and 316.44

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Solution

The fourth proportional to 382.72, 528.52 and 316.44 is: 436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.72 : 528.52 = 316.44 : x
  2. Step 2: Convert to fraction form
    382.72/528.52 = 316.44/x
  3. Step 3: Cross multiply
    382.72x = 528.52 × 316.44
  4. Step 4: Simplify right side
    382.72x = 167,244.87
  5. Step 5: Solve for x
    x = 167,244.87/382.72
  6. Step 6: Final answer
    x = 436.99

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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.