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Finding the Fourth Proportional to 382.73, 526.70 and 380.90

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Solution

The fourth proportional to 382.73, 526.70 and 380.90 is: 524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 526.70 = 380.90 : x
  2. Step 2: Convert to fraction form
    382.73/526.70 = 380.90/x
  3. Step 3: Cross multiply
    382.73x = 526.70 × 380.90
  4. Step 4: Simplify right side
    382.73x = 200,622.30
  5. Step 5: Solve for x
    x = 200,622.30/382.73
  6. Step 6: Final answer
    x = 524.19

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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.