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Finding the Fourth Proportional to 361.72, 499.23 and 230.77

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Solution

The fourth proportional to 361.72, 499.23 and 230.77 is: 318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.72 : 499.23 = 230.77 : x
  2. Step 2: Convert to fraction form
    361.72/499.23 = 230.77/x
  3. Step 3: Cross multiply
    361.72x = 499.23 × 230.77
  4. Step 4: Simplify right side
    361.72x = 115,207.31
  5. Step 5: Solve for x
    x = 115,207.31/361.72
  6. Step 6: Final answer
    x = 318.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.