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Finding the Fourth Proportional to 382.30, 527.91 and 277.96

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Solution

The fourth proportional to 382.30, 527.91 and 277.96 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 527.91 = 277.96 : x
  2. Step 2: Convert to fraction form
    382.30/527.91 = 277.96/x
  3. Step 3: Cross multiply
    382.30x = 527.91 × 277.96
  4. Step 4: Simplify right side
    382.30x = 146,737.86
  5. Step 5: Solve for x
    x = 146,737.86/382.30
  6. Step 6: Final answer
    x = 383.83

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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.