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Finding the Fourth Proportional to 455.56, 628.26 and 305.92

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Solution

The fourth proportional to 455.56, 628.26 and 305.92 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 628.26 = 305.92 : x
  2. Step 2: Convert to fraction form
    455.56/628.26 = 305.92/x
  3. Step 3: Cross multiply
    455.56x = 628.26 × 305.92
  4. Step 4: Simplify right side
    455.56x = 192,197.30
  5. Step 5: Solve for x
    x = 192,197.30/455.56
  6. Step 6: Final answer
    x = 421.89

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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.