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Finding the Fourth Proportional to 381.20, 572.31 and 368.90

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Solution

The fourth proportional to 381.20, 572.31 and 368.90 is: 553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 572.31 = 368.90 : x
  2. Step 2: Convert to fraction form
    381.20/572.31 = 368.90/x
  3. Step 3: Cross multiply
    381.20x = 572.31 × 368.90
  4. Step 4: Simplify right side
    381.20x = 211,125.16
  5. Step 5: Solve for x
    x = 211,125.16/381.20
  6. Step 6: Final answer
    x = 553.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.