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Finding the Fourth Proportional to 382.16, 573.10 and 135.30

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Solution

The fourth proportional to 382.16, 573.10 and 135.30 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 573.10 = 135.30 : x
  2. Step 2: Convert to fraction form
    382.16/573.10 = 135.30/x
  3. Step 3: Cross multiply
    382.16x = 573.10 × 135.30
  4. Step 4: Simplify right side
    382.16x = 77,540.43
  5. Step 5: Solve for x
    x = 77,540.43/382.16
  6. Step 6: Final answer
    x = 202.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.