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Finding the Fourth Proportional to 382.39, 527.06 and 303.57

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Solution

The fourth proportional to 382.39, 527.06 and 303.57 is: 418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 527.06 = 303.57 : x
  2. Step 2: Convert to fraction form
    382.39/527.06 = 303.57/x
  3. Step 3: Cross multiply
    382.39x = 527.06 × 303.57
  4. Step 4: Simplify right side
    382.39x = 160,000.36
  5. Step 5: Solve for x
    x = 160,000.36/382.39
  6. Step 6: Final answer
    x = 418.42

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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.