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Finding the Fourth Proportional to 382.38, 527.30 and 312.21

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Solution

The fourth proportional to 382.38, 527.30 and 312.21 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 527.30 = 312.21 : x
  2. Step 2: Convert to fraction form
    382.38/527.30 = 312.21/x
  3. Step 3: Cross multiply
    382.38x = 527.30 × 312.21
  4. Step 4: Simplify right side
    382.38x = 164,626.77
  5. Step 5: Solve for x
    x = 164,626.77/382.38
  6. Step 6: Final answer
    x = 430.53

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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.