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Finding the Fourth Proportional to 382.77, 527.85 and 233.28

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Solution

The fourth proportional to 382.77, 527.85 and 233.28 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 527.85 = 233.28 : x
  2. Step 2: Convert to fraction form
    382.77/527.85 = 233.28/x
  3. Step 3: Cross multiply
    382.77x = 527.85 × 233.28
  4. Step 4: Simplify right side
    382.77x = 123,136.85
  5. Step 5: Solve for x
    x = 123,136.85/382.77
  6. Step 6: Final answer
    x = 321.70

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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.