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Finding the Fourth Proportional to 381.51, 564.17 and 380.57

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Solution

The fourth proportional to 381.51, 564.17 and 380.57 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 564.17 = 380.57 : x
  2. Step 2: Convert to fraction form
    381.51/564.17 = 380.57/x
  3. Step 3: Cross multiply
    381.51x = 564.17 × 380.57
  4. Step 4: Simplify right side
    381.51x = 214,701.45
  5. Step 5: Solve for x
    x = 214,701.45/381.51
  6. Step 6: Final answer
    x = 562.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.