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Finding the Fourth Proportional to 381.73, 573.71 and 317.15

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Solution

The fourth proportional to 381.73, 573.71 and 317.15 is: 476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 573.71 = 317.15 : x
  2. Step 2: Convert to fraction form
    381.73/573.71 = 317.15/x
  3. Step 3: Cross multiply
    381.73x = 573.71 × 317.15
  4. Step 4: Simplify right side
    381.73x = 181,950.05
  5. Step 5: Solve for x
    x = 181,950.05/381.73
  6. Step 6: Final answer
    x = 476.65

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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.