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Finding the Fourth Proportional to 382.10, 535.30 and 382.10

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Solution

The fourth proportional to 382.10, 535.30 and 382.10 is: 535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 535.30 = 382.10 : x
  2. Step 2: Convert to fraction form
    382.10/535.30 = 382.10/x
  3. Step 3: Cross multiply
    382.10x = 535.30 × 382.10
  4. Step 4: Simplify right side
    382.10x = 204,538.13
  5. Step 5: Solve for x
    x = 204,538.13/382.10
  6. Step 6: Final answer
    x = 535.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.