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Finding the Fourth Proportional to 382.59, 528.17 and 303.83

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Solution

The fourth proportional to 382.59, 528.17 and 303.83 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.59 : 528.17 = 303.83 : x
  2. Step 2: Convert to fraction form
    382.59/528.17 = 303.83/x
  3. Step 3: Cross multiply
    382.59x = 528.17 × 303.83
  4. Step 4: Simplify right side
    382.59x = 160,473.89
  5. Step 5: Solve for x
    x = 160,473.89/382.59
  6. Step 6: Final answer
    x = 419.44

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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.